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Finding the Fourth Proportional to 100,920, 151,377.12 and 30,789.12

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Solution

The fourth proportional to 100,920, 151,377.12 and 30,789.12 is: 46,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,920 : 151,377.12 = 30,789.12 : x
  2. Step 2: Convert to fraction form
    100,920/151,377.12 = 30,789.12/x
  3. Step 3: Cross multiply
    100,920x = 151,377.12 × 30,789.12
  4. Step 4: Simplify right side
    100,920x = 4,660,768,312.93
  5. Step 5: Solve for x
    x = 4,660,768,312.93/100,920
  6. Step 6: Final answer
    x = 46,182.80

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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.