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Finding the Fourth Proportional to 157,876.84, 217,869.78 and 86,256.84

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Solution

The fourth proportional to 157,876.84, 217,869.78 and 86,256.84 is: 119,034.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,876.84 : 217,869.78 = 86,256.84 : x
  2. Step 2: Convert to fraction form
    157,876.84/217,869.78 = 86,256.84/x
  3. Step 3: Cross multiply
    157,876.84x = 217,869.78 × 86,256.84
  4. Step 4: Simplify right side
    157,876.84x = 18,792,758,754.30
  5. Step 5: Solve for x
    x = 18,792,758,754.30/157,876.84
  6. Step 6: Final answer
    x = 119,034.30

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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.