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Finding the Fourth Proportional to 100,781.72, 151,167.14 and 30,655.58

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Solution

The fourth proportional to 100,781.72, 151,167.14 and 30,655.58 is: 45,981.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,781.72 : 151,167.14 = 30,655.58 : x
  2. Step 2: Convert to fraction form
    100,781.72/151,167.14 = 30,655.58/x
  3. Step 3: Cross multiply
    100,781.72x = 151,167.14 × 30,655.58
  4. Step 4: Simplify right side
    100,781.72x = 4,634,115,674.44
  5. Step 5: Solve for x
    x = 4,634,115,674.44/100,781.72
  6. Step 6: Final answer
    x = 45,981.71

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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.