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Finding the Fourth Proportional to 157,881.31, 217,879.35 and 86,265.78

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Solution

The fourth proportional to 157,881.31, 217,879.35 and 86,265.78 is: 119,048.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,881.31 : 217,879.35 = 86,265.78 : x
  2. Step 2: Convert to fraction form
    157,881.31/217,879.35 = 86,265.78/x
  3. Step 3: Cross multiply
    157,881.31x = 217,879.35 × 86,265.78
  4. Step 4: Simplify right side
    157,881.31x = 18,795,532,073.64
  5. Step 5: Solve for x
    x = 18,795,532,073.64/157,881.31
  6. Step 6: Final answer
    x = 119,048.49

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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.