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Finding the Fourth Proportional to 209,973.60, 314,960.40 and 104,778.90

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Solution

The fourth proportional to 209,973.60, 314,960.40 and 104,778.90 is: 157,168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,973.60 : 314,960.40 = 104,778.90 : x
  2. Step 2: Convert to fraction form
    209,973.60/314,960.40 = 104,778.90/x
  3. Step 3: Cross multiply
    209,973.60x = 314,960.40 × 104,778.90
  4. Step 4: Simplify right side
    209,973.60x = 33,001,204,255.56
  5. Step 5: Solve for x
    x = 33,001,204,255.56/209,973.60
  6. Step 6: Final answer
    x = 157,168.35

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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.