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Finding the Fourth Proportional to 148,662.31, 205,154.13 and 80,679.30

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Solution

The fourth proportional to 148,662.31, 205,154.13 and 80,679.30 is: 111,337.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,662.31 : 205,154.13 = 80,679.30 : x
  2. Step 2: Convert to fraction form
    148,662.31/205,154.13 = 80,679.30/x
  3. Step 3: Cross multiply
    148,662.31x = 205,154.13 × 80,679.30
  4. Step 4: Simplify right side
    148,662.31x = 16,551,691,600.51
  5. Step 5: Solve for x
    x = 16,551,691,600.51/148,662.31
  6. Step 6: Final answer
    x = 111,337.51

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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.