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Finding the Fourth Proportional to 71,790, 99,070.20 and 41,982

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Solution

The fourth proportional to 71,790, 99,070.20 and 41,982 is: 57,935.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,790 : 99,070.20 = 41,982 : x
  2. Step 2: Convert to fraction form
    71,790/99,070.20 = 41,982/x
  3. Step 3: Cross multiply
    71,790x = 99,070.20 × 41,982
  4. Step 4: Simplify right side
    71,790x = 4,159,165,136.40
  5. Step 5: Solve for x
    x = 4,159,165,136.40/71,790
  6. Step 6: Final answer
    x = 57,935.16

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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.