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Finding the Fourth Proportional to 83,134.68, 124,751.70 and 30,549.48

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Solution

The fourth proportional to 83,134.68, 124,751.70 and 30,549.48 is: 45,842.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,134.68 : 124,751.70 = 30,549.48 : x
  2. Step 2: Convert to fraction form
    83,134.68/124,751.70 = 30,549.48/x
  3. Step 3: Cross multiply
    83,134.68x = 124,751.70 × 30,549.48
  4. Step 4: Simplify right side
    83,134.68x = 3,811,099,564.12
  5. Step 5: Solve for x
    x = 3,811,099,564.12/83,134.68
  6. Step 6: Final answer
    x = 45,842.48

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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.