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Finding the Fourth Proportional to 82,654.20, 123,981.30 and 53,129.70

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Solution

The fourth proportional to 82,654.20, 123,981.30 and 53,129.70 is: 79,694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,654.20 : 123,981.30 = 53,129.70 : x
  2. Step 2: Convert to fraction form
    82,654.20/123,981.30 = 53,129.70/x
  3. Step 3: Cross multiply
    82,654.20x = 123,981.30 × 53,129.70
  4. Step 4: Simplify right side
    82,654.20x = 6,587,089,274.61
  5. Step 5: Solve for x
    x = 6,587,089,274.61/82,654.20
  6. Step 6: Final answer
    x = 79,694.55

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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.