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Finding the Fourth Proportional to 138,909.60, 208,461.60 and 89,110.80

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Solution

The fourth proportional to 138,909.60, 208,461.60 and 89,110.80 is: 133,728.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,909.60 : 208,461.60 = 89,110.80 : x
  2. Step 2: Convert to fraction form
    138,909.60/208,461.60 = 89,110.80/x
  3. Step 3: Cross multiply
    138,909.60x = 208,461.60 × 89,110.80
  4. Step 4: Simplify right side
    138,909.60x = 18,576,179,945.28
  5. Step 5: Solve for x
    x = 18,576,179,945.28/138,909.60
  6. Step 6: Final answer
    x = 133,728.55

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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.