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Finding the Fourth Proportional to 257,023.56, 385,439.57 and 88,496.76

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Solution

The fourth proportional to 257,023.56, 385,439.57 and 88,496.76 is: 132,712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,023.56 : 385,439.57 = 88,496.76 : x
  2. Step 2: Convert to fraction form
    257,023.56/385,439.57 = 88,496.76/x
  3. Step 3: Cross multiply
    257,023.56x = 385,439.57 × 88,496.76
  4. Step 4: Simplify right side
    257,023.56x = 34,110,153,120.79
  5. Step 5: Solve for x
    x = 34,110,153,120.79/257,023.56
  6. Step 6: Final answer
    x = 132,712.17

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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.