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Finding the Fourth Proportional to 257,956.92, 386,704.53 and 100,147.86

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Solution

The fourth proportional to 257,956.92, 386,704.53 and 100,147.86 is: 150,132.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,956.92 : 386,704.53 = 100,147.86 : x
  2. Step 2: Convert to fraction form
    257,956.92/386,704.53 = 100,147.86/x
  3. Step 3: Cross multiply
    257,956.92x = 386,704.53 × 100,147.86
  4. Step 4: Simplify right side
    257,956.92x = 38,727,631,131.81
  5. Step 5: Solve for x
    x = 38,727,631,131.81/257,956.92
  6. Step 6: Final answer
    x = 150,132.17

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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.