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Finding the Fourth Proportional to 122,279.70, 183,200.85 and 75,477.90

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Solution

The fourth proportional to 122,279.70, 183,200.85 and 75,477.90 is: 113,081.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,279.70 : 183,200.85 = 75,477.90 : x
  2. Step 2: Convert to fraction form
    122,279.70/183,200.85 = 75,477.90/x
  3. Step 3: Cross multiply
    122,279.70x = 183,200.85 × 75,477.90
  4. Step 4: Simplify right side
    122,279.70x = 13,827,615,436.22
  5. Step 5: Solve for x
    x = 13,827,615,436.22/122,279.70
  6. Step 6: Final answer
    x = 113,081.86

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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.