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Finding the Fourth Proportional to 120,202.32, 165,874.10 and 65,753.58

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Solution

The fourth proportional to 120,202.32, 165,874.10 and 65,753.58 is: 90,737.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,202.32 : 165,874.10 = 65,753.58 : x
  2. Step 2: Convert to fraction form
    120,202.32/165,874.10 = 65,753.58/x
  3. Step 3: Cross multiply
    120,202.32x = 165,874.10 × 65,753.58
  4. Step 4: Simplify right side
    120,202.32x = 10,906,815,904.28
  5. Step 5: Solve for x
    x = 10,906,815,904.28/120,202.32
  6. Step 6: Final answer
    x = 90,737.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.