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Finding the Fourth Proportional to 148,120, 204,405.60 and 81,052

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Solution

The fourth proportional to 148,120, 204,405.60 and 81,052 is: 111,851.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,120 : 204,405.60 = 81,052 : x
  2. Step 2: Convert to fraction form
    148,120/204,405.60 = 81,052/x
  3. Step 3: Cross multiply
    148,120x = 204,405.60 × 81,052
  4. Step 4: Simplify right side
    148,120x = 16,567,482,691.20
  5. Step 5: Solve for x
    x = 16,567,482,691.20/148,120
  6. Step 6: Final answer
    x = 111,851.76

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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.