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Finding the Fourth Proportional to 209,952,223.20, 314,928,334.80 and 107,915,551.20

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Solution

The fourth proportional to 209,952,223.20, 314,928,334.80 and 107,915,551.20 is: 161,873,326.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,223.20 : 314,928,334.80 = 107,915,551.20 : x
  2. Step 2: Convert to fraction form
    209,952,223.20/314,928,334.80 = 107,915,551.20/x
  3. Step 3: Cross multiply
    209,952,223.20x = 314,928,334.80 × 107,915,551.20
  4. Step 4: Simplify right side
    209,952,223.20x = 33,985,664,838,440,144
  5. Step 5: Solve for x
    x = 33,985,664,838,440,144/209,952,223.20
  6. Step 6: Final answer
    x = 161,873,326.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.