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Finding the Fourth Proportional to 71,710.36, 98,952.72 and 39,874.12

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Solution

The fourth proportional to 71,710.36, 98,952.72 and 39,874.12 is: 55,022.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,710.36 : 98,952.72 = 39,874.12 : x
  2. Step 2: Convert to fraction form
    71,710.36/98,952.72 = 39,874.12/x
  3. Step 3: Cross multiply
    71,710.36x = 98,952.72 × 39,874.12
  4. Step 4: Simplify right side
    71,710.36x = 3,945,652,631.61
  5. Step 5: Solve for x
    x = 3,945,652,631.61/71,710.36
  6. Step 6: Final answer
    x = 55,022.07

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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.