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Finding the Fourth Proportional to 71,901.35, 99,224.84 and 40,069.16

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Solution

The fourth proportional to 71,901.35, 99,224.84 and 40,069.16 is: 55,295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,901.35 : 99,224.84 = 40,069.16 : x
  2. Step 2: Convert to fraction form
    71,901.35/99,224.84 = 40,069.16/x
  3. Step 3: Cross multiply
    71,901.35x = 99,224.84 × 40,069.16
  4. Step 4: Simplify right side
    71,901.35x = 3,975,855,789.59
  5. Step 5: Solve for x
    x = 3,975,855,789.59/71,901.35
  6. Step 6: Final answer
    x = 55,295.98

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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.