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Finding the Fourth Proportional to 157,358.34, 217,151.77 and 85,738.95

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Solution

The fourth proportional to 157,358.34, 217,151.77 and 85,738.95 is: 118,318.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,358.34 : 217,151.77 = 85,738.95 : x
  2. Step 2: Convert to fraction form
    157,358.34/217,151.77 = 85,738.95/x
  3. Step 3: Cross multiply
    157,358.34x = 217,151.77 × 85,738.95
  4. Step 4: Simplify right side
    157,358.34x = 18,618,364,750.44
  5. Step 5: Solve for x
    x = 18,618,364,750.44/157,358.34
  6. Step 6: Final answer
    x = 118,318.26

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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.