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Finding the Fourth Proportional to 100,765.72, 151,140.66 and 30,644.92

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Solution

The fourth proportional to 100,765.72, 151,140.66 and 30,644.92 is: 45,964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,765.72 : 151,140.66 = 30,644.92 : x
  2. Step 2: Convert to fraction form
    100,765.72/151,140.66 = 30,644.92/x
  3. Step 3: Cross multiply
    100,765.72x = 151,140.66 × 30,644.92
  4. Step 4: Simplify right side
    100,765.72x = 4,631,693,434.45
  5. Step 5: Solve for x
    x = 4,631,693,434.45/100,765.72
  6. Step 6: Final answer
    x = 45,964.97

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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.