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Finding the Fourth Proportional to 100,891.67, 151,336.13 and 34,378.16

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Solution

The fourth proportional to 100,891.67, 151,336.13 and 34,378.16 is: 51,566.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,891.67 : 151,336.13 = 34,378.16 : x
  2. Step 2: Convert to fraction form
    100,891.67/151,336.13 = 34,378.16/x
  3. Step 3: Cross multiply
    100,891.67x = 151,336.13 × 34,378.16
  4. Step 4: Simplify right side
    100,891.67x = 5,202,656,762.35
  5. Step 5: Solve for x
    x = 5,202,656,762.35/100,891.67
  6. Step 6: Final answer
    x = 51,566.76

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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.