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Finding the Fourth Proportional to 138,769.20, 208,153.80 and 99,403.20

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Solution

The fourth proportional to 138,769.20, 208,153.80 and 99,403.20 is: 149,104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,769.20 : 208,153.80 = 99,403.20 : x
  2. Step 2: Convert to fraction form
    138,769.20/208,153.80 = 99,403.20/x
  3. Step 3: Cross multiply
    138,769.20x = 208,153.80 × 99,403.20
  4. Step 4: Simplify right side
    138,769.20x = 20,691,153,812.16
  5. Step 5: Solve for x
    x = 20,691,153,812.16/138,769.20
  6. Step 6: Final answer
    x = 149,104.80

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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.