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Finding the Fourth Proportional to 148,047.28, 221,990.92 and 76,793.28

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Solution

The fourth proportional to 148,047.28, 221,990.92 and 76,793.28 is: 115,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,047.28 : 221,990.92 = 76,793.28 : x
  2. Step 2: Convert to fraction form
    148,047.28/221,990.92 = 76,793.28/x
  3. Step 3: Cross multiply
    148,047.28x = 221,990.92 × 76,793.28
  4. Step 4: Simplify right side
    148,047.28x = 17,047,410,877.02
  5. Step 5: Solve for x
    x = 17,047,410,877.02/148,047.28
  6. Step 6: Final answer
    x = 115,148.42

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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.