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Finding the Fourth Proportional to 148,765.80, 205,296.57 and 81,697.80

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Solution

The fourth proportional to 148,765.80, 205,296.57 and 81,697.80 is: 112,742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,765.80 : 205,296.57 = 81,697.80 : x
  2. Step 2: Convert to fraction form
    148,765.80/205,296.57 = 81,697.80/x
  3. Step 3: Cross multiply
    148,765.80x = 205,296.57 × 81,697.80
  4. Step 4: Simplify right side
    148,765.80x = 16,772,278,116.55
  5. Step 5: Solve for x
    x = 16,772,278,116.55/148,765.80
  6. Step 6: Final answer
    x = 112,742.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.