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Finding the Fourth Proportional to 71,530.08, 98,710.02 and 39,697.08

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Solution

The fourth proportional to 71,530.08, 98,710.02 and 39,697.08 is: 54,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,530.08 : 98,710.02 = 39,697.08 : x
  2. Step 2: Convert to fraction form
    71,530.08/98,710.02 = 39,697.08/x
  3. Step 3: Cross multiply
    71,530.08x = 98,710.02 × 39,697.08
  4. Step 4: Simplify right side
    71,530.08x = 3,918,499,560.74
  5. Step 5: Solve for x
    x = 3,918,499,560.74/71,530.08
  6. Step 6: Final answer
    x = 54,781.14

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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.