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Finding the Fourth Proportional to 138,810.76, 207,704.61 and 98,164.15

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Solution

The fourth proportional to 138,810.76, 207,704.61 and 98,164.15 is: 146,884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,810.76 : 207,704.61 = 98,164.15 : x
  2. Step 2: Convert to fraction form
    138,810.76/207,704.61 = 98,164.15/x
  3. Step 3: Cross multiply
    138,810.76x = 207,704.61 × 98,164.15
  4. Step 4: Simplify right side
    138,810.76x = 20,389,146,491.73
  5. Step 5: Solve for x
    x = 20,389,146,491.73/138,810.76
  6. Step 6: Final answer
    x = 146,884.48

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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.