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Finding the Fourth Proportional to 71,887.68, 107,700.12 and 52,117.20

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Solution

The fourth proportional to 71,887.68, 107,700.12 and 52,117.20 is: 78,080.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,887.68 : 107,700.12 = 52,117.20 : x
  2. Step 2: Convert to fraction form
    71,887.68/107,700.12 = 52,117.20/x
  3. Step 3: Cross multiply
    71,887.68x = 107,700.12 × 52,117.20
  4. Step 4: Simplify right side
    71,887.68x = 5,613,028,694.06
  5. Step 5: Solve for x
    x = 5,613,028,694.06/71,887.68
  6. Step 6: Final answer
    x = 78,080.54

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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.