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Finding the Fourth Proportional to 100,805.18, 150,837.96 and 84,124.04

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Solution

The fourth proportional to 100,805.18, 150,837.96 and 84,124.04 is: 125,877.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,805.18 : 150,837.96 = 84,124.04 : x
  2. Step 2: Convert to fraction form
    100,805.18/150,837.96 = 84,124.04/x
  3. Step 3: Cross multiply
    100,805.18x = 150,837.96 × 84,124.04
  4. Step 4: Simplify right side
    100,805.18x = 12,689,098,580.56
  5. Step 5: Solve for x
    x = 12,689,098,580.56/100,805.18
  6. Step 6: Final answer
    x = 125,877.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.