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Finding the Fourth Proportional to 103,461.98, 155,301.56 and 91,691.06

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Solution

The fourth proportional to 103,461.98, 155,301.56 and 91,691.06 is: 137,632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,461.98 : 155,301.56 = 91,691.06 : x
  2. Step 2: Convert to fraction form
    103,461.98/155,301.56 = 91,691.06/x
  3. Step 3: Cross multiply
    103,461.98x = 155,301.56 × 91,691.06
  4. Step 4: Simplify right side
    103,461.98x = 14,239,765,273.54
  5. Step 5: Solve for x
    x = 14,239,765,273.54/103,461.98
  6. Step 6: Final answer
    x = 137,632.83

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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.