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Finding the Fourth Proportional to 100,951.80, 151,415.55 and 41,781.30

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Solution

The fourth proportional to 100,951.80, 151,415.55 and 41,781.30 is: 62,666.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,951.80 : 151,415.55 = 41,781.30 : x
  2. Step 2: Convert to fraction form
    100,951.80/151,415.55 = 41,781.30/x
  3. Step 3: Cross multiply
    100,951.80x = 151,415.55 × 41,781.30
  4. Step 4: Simplify right side
    100,951.80x = 6,326,338,519.22
  5. Step 5: Solve for x
    x = 6,326,338,519.22/100,951.80
  6. Step 6: Final answer
    x = 62,666.92

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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.