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Finding the Fourth Proportional to 149,641.80, 224,171.10 and 90,301.20

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Solution

The fourth proportional to 149,641.80, 224,171.10 and 90,301.20 is: 135,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,641.80 : 224,171.10 = 90,301.20 : x
  2. Step 2: Convert to fraction form
    149,641.80/224,171.10 = 90,301.20/x
  3. Step 3: Cross multiply
    149,641.80x = 224,171.10 × 90,301.20
  4. Step 4: Simplify right side
    149,641.80x = 20,242,919,335.32
  5. Step 5: Solve for x
    x = 20,242,919,335.32/149,641.80
  6. Step 6: Final answer
    x = 135,275.83

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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.