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Finding the Fourth Proportional to 254,691.60, 381,940.20 and 77,139.60

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Solution

The fourth proportional to 254,691.60, 381,940.20 and 77,139.60 is: 115,679.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,691.60 : 381,940.20 = 77,139.60 : x
  2. Step 2: Convert to fraction form
    254,691.60/381,940.20 = 77,139.60/x
  3. Step 3: Cross multiply
    254,691.60x = 381,940.20 × 77,139.60
  4. Step 4: Simplify right side
    254,691.60x = 29,462,714,251.92
  5. Step 5: Solve for x
    x = 29,462,714,251.92/254,691.60
  6. Step 6: Final answer
    x = 115,679.96

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1.5x scale

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.