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Finding the Fourth Proportional to 157,959.54, 217,983.82 and 89,976.48

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Solution

The fourth proportional to 157,959.54, 217,983.82 and 89,976.48 is: 124,167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,959.54 : 217,983.82 = 89,976.48 : x
  2. Step 2: Convert to fraction form
    157,959.54/217,983.82 = 89,976.48/x
  3. Step 3: Cross multiply
    157,959.54x = 217,983.82 × 89,976.48
  4. Step 4: Simplify right side
    157,959.54x = 19,613,416,820.55
  5. Step 5: Solve for x
    x = 19,613,416,820.55/157,959.54
  6. Step 6: Final answer
    x = 124,167.35

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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.