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Finding the Fourth Proportional to 100,885.55, 151,327.92 and 30,764.66

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Solution

The fourth proportional to 100,885.55, 151,327.92 and 30,764.66 is: 46,146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,885.55 : 151,327.92 = 30,764.66 : x
  2. Step 2: Convert to fraction form
    100,885.55/151,327.92 = 30,764.66/x
  3. Step 3: Cross multiply
    100,885.55x = 151,327.92 × 30,764.66
  4. Step 4: Simplify right side
    100,885.55x = 4,655,552,007.31
  5. Step 5: Solve for x
    x = 4,655,552,007.31/100,885.55
  6. Step 6: Final answer
    x = 46,146.87

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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.