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Finding the Fourth Proportional to 157,561.34, 217,435.33 and 85,942.90

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Solution

The fourth proportional to 157,561.34, 217,435.33 and 85,942.90 is: 118,601.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,561.34 : 217,435.33 = 85,942.90 : x
  2. Step 2: Convert to fraction form
    157,561.34/217,435.33 = 85,942.90/x
  3. Step 3: Cross multiply
    157,561.34x = 217,435.33 × 85,942.90
  4. Step 4: Simplify right side
    157,561.34x = 18,687,022,822.66
  5. Step 5: Solve for x
    x = 18,687,022,822.66/157,561.34
  6. Step 6: Final answer
    x = 118,601.57

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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.