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Finding the Fourth Proportional to 157,282, 217,049.16 and 86,626

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Solution

The fourth proportional to 157,282, 217,049.16 and 86,626 is: 119,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,282 : 217,049.16 = 86,626 : x
  2. Step 2: Convert to fraction form
    157,282/217,049.16 = 86,626/x
  3. Step 3: Cross multiply
    157,282x = 217,049.16 × 86,626
  4. Step 4: Simplify right side
    157,282x = 18,802,100,534.16
  5. Step 5: Solve for x
    x = 18,802,100,534.16/157,282
  6. Step 6: Final answer
    x = 119,543.88

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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.