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Finding the Fourth Proportional to 157,115.88, 217,073.88 and 109,581.48

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Solution

The fourth proportional to 157,115.88, 217,073.88 and 109,581.48 is: 151,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,115.88 : 217,073.88 = 109,581.48 : x
  2. Step 2: Convert to fraction form
    157,115.88/217,073.88 = 109,581.48/x
  3. Step 3: Cross multiply
    157,115.88x = 217,073.88 × 109,581.48
  4. Step 4: Simplify right side
    157,115.88x = 23,787,277,039.74
  5. Step 5: Solve for x
    x = 23,787,277,039.74/157,115.88
  6. Step 6: Final answer
    x = 151,399.57

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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.