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Finding the Fourth Proportional to 157,648.92, 217,560.09 and 86,033.54

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Solution

The fourth proportional to 157,648.92, 217,560.09 and 86,033.54 is: 118,728.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,648.92 : 217,560.09 = 86,033.54 : x
  2. Step 2: Convert to fraction form
    157,648.92/217,560.09 = 86,033.54/x
  3. Step 3: Cross multiply
    157,648.92x = 217,560.09 × 86,033.54
  4. Step 4: Simplify right side
    157,648.92x = 18,717,464,705.42
  5. Step 5: Solve for x
    x = 18,717,464,705.42/157,648.92
  6. Step 6: Final answer
    x = 118,728.78

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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.