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Finding the Fourth Proportional to 148,492.80, 222,640.80 and 81,964.80

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Solution

The fourth proportional to 148,492.80, 222,640.80 and 81,964.80 is: 122,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,492.80 : 222,640.80 = 81,964.80 : x
  2. Step 2: Convert to fraction form
    148,492.80/222,640.80 = 81,964.80/x
  3. Step 3: Cross multiply
    148,492.80x = 222,640.80 × 81,964.80
  4. Step 4: Simplify right side
    148,492.80x = 18,248,708,643.84
  5. Step 5: Solve for x
    x = 18,248,708,643.84/148,492.80
  6. Step 6: Final answer
    x = 122,892.89

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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.