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Finding the Fourth Proportional to 148,400, 204,804.96 and 81,344.96

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Solution

The fourth proportional to 148,400, 204,804.96 and 81,344.96 is: 112,263.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,400 : 204,804.96 = 81,344.96 : x
  2. Step 2: Convert to fraction form
    148,400/204,804.96 = 81,344.96/x
  3. Step 3: Cross multiply
    148,400x = 204,804.96 × 81,344.96
  4. Step 4: Simplify right side
    148,400x = 16,659,851,279.00
  5. Step 5: Solve for x
    x = 16,659,851,279.00/148,400
  6. Step 6: Final answer
    x = 112,263.15

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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.