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Finding the Fourth Proportional to 100,778.46, 151,167.69 and 71,549.21

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Solution

The fourth proportional to 100,778.46, 151,167.69 and 71,549.21 is: 107,323.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,778.46 : 151,167.69 = 71,549.21 : x
  2. Step 2: Convert to fraction form
    100,778.46/151,167.69 = 71,549.21/x
  3. Step 3: Cross multiply
    100,778.46x = 151,167.69 × 71,549.21
  4. Step 4: Simplify right side
    100,778.46x = 10,815,928,041.19
  5. Step 5: Solve for x
    x = 10,815,928,041.19/100,778.46
  6. Step 6: Final answer
    x = 107,323.81

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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.