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Finding the Fourth Proportional to 261,134.40, 391,730.40 and 83,611.20

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Solution

The fourth proportional to 261,134.40, 391,730.40 and 83,611.20 is: 125,426.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,134.40 : 391,730.40 = 83,611.20 : x
  2. Step 2: Convert to fraction form
    261,134.40/391,730.40 = 83,611.20/x
  3. Step 3: Cross multiply
    261,134.40x = 391,730.40 × 83,611.20
  4. Step 4: Simplify right side
    261,134.40x = 32,753,048,820.48
  5. Step 5: Solve for x
    x = 32,753,048,820.48/261,134.40
  6. Step 6: Final answer
    x = 125,426.02

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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.