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Finding the Fourth Proportional to 82,929.80, 124,257.90 and 47,808.20

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Solution

The fourth proportional to 82,929.80, 124,257.90 and 47,808.20 is: 71,633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,929.80 : 124,257.90 = 47,808.20 : x
  2. Step 2: Convert to fraction form
    82,929.80/124,257.90 = 47,808.20/x
  3. Step 3: Cross multiply
    82,929.80x = 124,257.90 × 47,808.20
  4. Step 4: Simplify right side
    82,929.80x = 5,940,546,534.78
  5. Step 5: Solve for x
    x = 5,940,546,534.78/82,929.80
  6. Step 6: Final answer
    x = 71,633.44

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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.