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Finding the Fourth Proportional to 257,375.52, 385,956.36 and 99,513

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Solution

The fourth proportional to 257,375.52, 385,956.36 and 99,513 is: 149,228.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,375.52 : 385,956.36 = 99,513 : x
  2. Step 2: Convert to fraction form
    257,375.52/385,956.36 = 99,513/x
  3. Step 3: Cross multiply
    257,375.52x = 385,956.36 × 99,513
  4. Step 4: Simplify right side
    257,375.52x = 38,407,675,252.68
  5. Step 5: Solve for x
    x = 38,407,675,252.68/257,375.52
  6. Step 6: Final answer
    x = 149,228.16

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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.