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Finding the Fourth Proportional to 71,931, 99,263.64 and 40,101.84

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Solution

The fourth proportional to 71,931, 99,263.64 and 40,101.84 is: 55,339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,931 : 99,263.64 = 40,101.84 : x
  2. Step 2: Convert to fraction form
    71,931/99,263.64 = 40,101.84/x
  3. Step 3: Cross multiply
    71,931x = 99,263.64 × 40,101.84
  4. Step 4: Simplify right side
    71,931x = 3,980,654,609.10
  5. Step 5: Solve for x
    x = 3,980,654,609.10/71,931
  6. Step 6: Final answer
    x = 55,339.90

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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.