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Finding the Fourth Proportional to 122,963.20, 184,531.20 and 78,697.60

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Solution

The fourth proportional to 122,963.20, 184,531.20 and 78,697.60 is: 118,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,963.20 : 184,531.20 = 78,697.60 : x
  2. Step 2: Convert to fraction form
    122,963.20/184,531.20 = 78,697.60/x
  3. Step 3: Cross multiply
    122,963.20x = 184,531.20 × 78,697.60
  4. Step 4: Simplify right side
    122,963.20x = 14,522,162,565.12
  5. Step 5: Solve for x
    x = 14,522,162,565.12/122,963.20
  6. Step 6: Final answer
    x = 118,101.70

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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.