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Finding the Fourth Proportional to 82,769.87, 124,136.33 and 38,390.87

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Solution

The fourth proportional to 82,769.87, 124,136.33 and 38,390.87 is: 57,577.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,769.87 : 124,136.33 = 38,390.87 : x
  2. Step 2: Convert to fraction form
    82,769.87/124,136.33 = 38,390.87/x
  3. Step 3: Cross multiply
    82,769.87x = 124,136.33 × 38,390.87
  4. Step 4: Simplify right side
    82,769.87x = 4,765,700,894.67
  5. Step 5: Solve for x
    x = 4,765,700,894.67/82,769.87
  6. Step 6: Final answer
    x = 57,577.73

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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.