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Finding the Fourth Proportional to 257,023.68, 385,439.76 and 88,496.88

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Solution

The fourth proportional to 257,023.68, 385,439.76 and 88,496.88 is: 132,712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,023.68 : 385,439.76 = 88,496.88 : x
  2. Step 2: Convert to fraction form
    257,023.68/385,439.76 = 88,496.88/x
  3. Step 3: Cross multiply
    257,023.68x = 385,439.76 × 88,496.88
  4. Step 4: Simplify right side
    257,023.68x = 34,110,216,187.95
  5. Step 5: Solve for x
    x = 34,110,216,187.95/257,023.68
  6. Step 6: Final answer
    x = 132,712.35

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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.