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Finding the Fourth Proportional to 120,515.76, 180,774.72 and 31,781.88

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Solution

The fourth proportional to 120,515.76, 180,774.72 and 31,781.88 is: 47,673.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,515.76 : 180,774.72 = 31,781.88 : x
  2. Step 2: Convert to fraction form
    120,515.76/180,774.72 = 31,781.88/x
  3. Step 3: Cross multiply
    120,515.76x = 180,774.72 × 31,781.88
  4. Step 4: Simplify right side
    120,515.76x = 5,745,360,458.07
  5. Step 5: Solve for x
    x = 5,745,360,458.07/120,515.76
  6. Step 6: Final answer
    x = 47,673.10

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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.