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Finding the Fourth Proportional to 192,248.40, 288,475.88 and 80,006

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Solution

The fourth proportional to 192,248.40, 288,475.88 and 80,006 is: 120,051.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,248.40 : 288,475.88 = 80,006 : x
  2. Step 2: Convert to fraction form
    192,248.40/288,475.88 = 80,006/x
  3. Step 3: Cross multiply
    192,248.40x = 288,475.88 × 80,006
  4. Step 4: Simplify right side
    192,248.40x = 23,079,801,255.28
  5. Step 5: Solve for x
    x = 23,079,801,255.28/192,248.40
  6. Step 6: Final answer
    x = 120,051.98

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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.