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Finding the Fourth Proportional to 149,151.68, 205,830.20 and 81,169.19

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Solution

The fourth proportional to 149,151.68, 205,830.20 and 81,169.19 is: 112,013.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,151.68 : 205,830.20 = 81,169.19 : x
  2. Step 2: Convert to fraction form
    149,151.68/205,830.20 = 81,169.19/x
  3. Step 3: Cross multiply
    149,151.68x = 205,830.20 × 81,169.19
  4. Step 4: Simplify right side
    149,151.68x = 16,707,070,611.54
  5. Step 5: Solve for x
    x = 16,707,070,611.54/149,151.68
  6. Step 6: Final answer
    x = 112,013.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.