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Finding the Fourth Proportional to 157,321.92, 217,103.28 and 85,701.76

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Solution

The fourth proportional to 157,321.92, 217,103.28 and 85,701.76 is: 118,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,321.92 : 217,103.28 = 85,701.76 : x
  2. Step 2: Convert to fraction form
    157,321.92/217,103.28 = 85,701.76/x
  3. Step 3: Cross multiply
    157,321.92x = 217,103.28 × 85,701.76
  4. Step 4: Simplify right side
    157,321.92x = 18,606,133,197.77
  5. Step 5: Solve for x
    x = 18,606,133,197.77/157,321.92
  6. Step 6: Final answer
    x = 118,267.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.