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Finding the Fourth Proportional to 209,783.80, 314,551.22 and 83,356.21

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Solution

The fourth proportional to 209,783.80, 314,551.22 and 83,356.21 is: 124,984.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,783.80 : 314,551.22 = 83,356.21 : x
  2. Step 2: Convert to fraction form
    209,783.80/314,551.22 = 83,356.21/x
  3. Step 3: Cross multiply
    209,783.80x = 314,551.22 × 83,356.21
  4. Step 4: Simplify right side
    209,783.80x = 26,219,797,550.08
  5. Step 5: Solve for x
    x = 26,219,797,550.08/209,783.80
  6. Step 6: Final answer
    x = 124,984.85

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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.