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Finding the Fourth Proportional to 120,618.30, 180,927.45 and 78,627.90

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Solution

The fourth proportional to 120,618.30, 180,927.45 and 78,627.90 is: 117,941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,618.30 : 180,927.45 = 78,627.90 : x
  2. Step 2: Convert to fraction form
    120,618.30/180,927.45 = 78,627.90/x
  3. Step 3: Cross multiply
    120,618.30x = 180,927.45 × 78,627.90
  4. Step 4: Simplify right side
    120,618.30x = 14,225,945,445.86
  5. Step 5: Solve for x
    x = 14,225,945,445.86/120,618.30
  6. Step 6: Final answer
    x = 117,941.85

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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.