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Finding the Fourth Proportional to 71,006.70, 97,989.12 and 39,175.50

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Solution

The fourth proportional to 71,006.70, 97,989.12 and 39,175.50 is: 54,062.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,006.70 : 97,989.12 = 39,175.50 : x
  2. Step 2: Convert to fraction form
    71,006.70/97,989.12 = 39,175.50/x
  3. Step 3: Cross multiply
    71,006.70x = 97,989.12 × 39,175.50
  4. Step 4: Simplify right side
    71,006.70x = 3,838,772,770.56
  5. Step 5: Solve for x
    x = 3,838,772,770.56/71,006.70
  6. Step 6: Final answer
    x = 54,062.12

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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.