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Finding the Fourth Proportional to 71,906.40, 107,762.40 and 63,547.20

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Solution

The fourth proportional to 71,906.40, 107,762.40 and 63,547.20 is: 95,234.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,906.40 : 107,762.40 = 63,547.20 : x
  2. Step 2: Convert to fraction form
    71,906.40/107,762.40 = 63,547.20/x
  3. Step 3: Cross multiply
    71,906.40x = 107,762.40 × 63,547.20
  4. Step 4: Simplify right side
    71,906.40x = 6,847,998,785.28
  5. Step 5: Solve for x
    x = 6,847,998,785.28/71,906.40
  6. Step 6: Final answer
    x = 95,234.90

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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.