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Finding the Fourth Proportional to 71,298.65, 107,053.11 and 39,770.31

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Solution

The fourth proportional to 71,298.65, 107,053.11 and 39,770.31 is: 59,714.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,298.65 : 107,053.11 = 39,770.31 : x
  2. Step 2: Convert to fraction form
    71,298.65/107,053.11 = 39,770.31/x
  3. Step 3: Cross multiply
    71,298.65x = 107,053.11 × 39,770.31
  4. Step 4: Simplify right side
    71,298.65x = 4,257,535,371.16
  5. Step 5: Solve for x
    x = 4,257,535,371.16/71,298.65
  6. Step 6: Final answer
    x = 59,714.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.