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Finding the Fourth Proportional to 120,257.76, 180,335.90 and 36,029.90

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Solution

The fourth proportional to 120,257.76, 180,335.90 and 36,029.90 is: 54,029.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,257.76 : 180,335.90 = 36,029.90 : x
  2. Step 2: Convert to fraction form
    120,257.76/180,335.90 = 36,029.90/x
  3. Step 3: Cross multiply
    120,257.76x = 180,335.90 × 36,029.90
  4. Step 4: Simplify right side
    120,257.76x = 6,497,484,781.66
  5. Step 5: Solve for x
    x = 6,497,484,781.66/120,257.76
  6. Step 6: Final answer
    x = 54,029.65

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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.