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Finding the Fourth Proportional to 148,473.80, 222,710.70 and 137,976.20

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Solution

The fourth proportional to 148,473.80, 222,710.70 and 137,976.20 is: 206,964.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,473.80 : 222,710.70 = 137,976.20 : x
  2. Step 2: Convert to fraction form
    148,473.80/222,710.70 = 137,976.20/x
  3. Step 3: Cross multiply
    148,473.80x = 222,710.70 × 137,976.20
  4. Step 4: Simplify right side
    148,473.80x = 30,728,776,085.34
  5. Step 5: Solve for x
    x = 30,728,776,085.34/148,473.80
  6. Step 6: Final answer
    x = 206,964.30

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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.