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Finding the Fourth Proportional to 100,512.96, 151,491.92 and 86,640.42

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Solution

The fourth proportional to 100,512.96, 151,491.92 and 86,640.42 is: 130,583.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,512.96 : 151,491.92 = 86,640.42 : x
  2. Step 2: Convert to fraction form
    100,512.96/151,491.92 = 86,640.42/x
  3. Step 3: Cross multiply
    100,512.96x = 151,491.92 × 86,640.42
  4. Step 4: Simplify right side
    100,512.96x = 13,125,323,142.20
  5. Step 5: Solve for x
    x = 13,125,323,142.20/100,512.96
  6. Step 6: Final answer
    x = 130,583.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.