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Finding the Fourth Proportional to 157,438.82, 217,267.85 and 85,818.86

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Solution

The fourth proportional to 157,438.82, 217,267.85 and 85,818.86 is: 118,431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,438.82 : 217,267.85 = 85,818.86 : x
  2. Step 2: Convert to fraction form
    157,438.82/217,267.85 = 85,818.86/x
  3. Step 3: Cross multiply
    157,438.82x = 217,267.85 × 85,818.86
  4. Step 4: Simplify right side
    157,438.82x = 18,645,679,144.61
  5. Step 5: Solve for x
    x = 18,645,679,144.61/157,438.82
  6. Step 6: Final answer
    x = 118,431.27

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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.