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Finding the Fourth Proportional to 107,504.74, 161,081.74 and 65,397.70

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Solution

The fourth proportional to 107,504.74, 161,081.74 and 65,397.70 is: 97,989.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,504.74 : 161,081.74 = 65,397.70 : x
  2. Step 2: Convert to fraction form
    107,504.74/161,081.74 = 65,397.70/x
  3. Step 3: Cross multiply
    107,504.74x = 161,081.74 × 65,397.70
  4. Step 4: Simplify right side
    107,504.74x = 10,534,375,308.00
  5. Step 5: Solve for x
    x = 10,534,375,308.00/107,504.74
  6. Step 6: Final answer
    x = 97,989.87

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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.