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Finding the Fourth Proportional to 100,870, 151,291.38 and 41,697.46

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Solution

The fourth proportional to 100,870, 151,291.38 and 41,697.46 is: 62,540.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,870 : 151,291.38 = 41,697.46 : x
  2. Step 2: Convert to fraction form
    100,870/151,291.38 = 41,697.46/x
  3. Step 3: Cross multiply
    100,870x = 151,291.38 × 41,697.46
  4. Step 4: Simplify right side
    100,870x = 6,308,466,265.89
  5. Step 5: Solve for x
    x = 6,308,466,265.89/100,870
  6. Step 6: Final answer
    x = 62,540.56

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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.