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Finding the Fourth Proportional to 157,884.48, 217,877.82 and 86,262.72

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Solution

The fourth proportional to 157,884.48, 217,877.82 and 86,262.72 is: 119,041.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,884.48 : 217,877.82 = 86,262.72 : x
  2. Step 2: Convert to fraction form
    157,884.48/217,877.82 = 86,262.72/x
  3. Step 3: Cross multiply
    157,884.48x = 217,877.82 × 86,262.72
  4. Step 4: Simplify right side
    157,884.48x = 18,794,733,380.87
  5. Step 5: Solve for x
    x = 18,794,733,380.87/157,884.48
  6. Step 6: Final answer
    x = 119,041.04

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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.