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Finding the Fourth Proportional to 157,540.89, 217,406.42 and 85,920.91

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Solution

The fourth proportional to 157,540.89, 217,406.42 and 85,920.91 is: 118,570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,540.89 : 217,406.42 = 85,920.91 : x
  2. Step 2: Convert to fraction form
    157,540.89/217,406.42 = 85,920.91/x
  3. Step 3: Cross multiply
    157,540.89x = 217,406.42 × 85,920.91
  4. Step 4: Simplify right side
    157,540.89x = 18,679,757,371.08
  5. Step 5: Solve for x
    x = 18,679,757,371.08/157,540.89
  6. Step 6: Final answer
    x = 118,570.85

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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.