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Finding the Fourth Proportional to 120,655.80, 180,983.70 and 111,907.80

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Solution

The fourth proportional to 120,655.80, 180,983.70 and 111,907.80 is: 167,861.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,655.80 : 180,983.70 = 111,907.80 : x
  2. Step 2: Convert to fraction form
    120,655.80/180,983.70 = 111,907.80/x
  3. Step 3: Cross multiply
    120,655.80x = 180,983.70 × 111,907.80
  4. Step 4: Simplify right side
    120,655.80x = 20,253,487,702.86
  5. Step 5: Solve for x
    x = 20,253,487,702.86/120,655.80
  6. Step 6: Final answer
    x = 167,861.70

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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.