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Finding the Fourth Proportional to 192,505.94, 288,565.04 and 80,248.30

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Solution

The fourth proportional to 192,505.94, 288,565.04 and 80,248.30 is: 120,291.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,505.94 : 288,565.04 = 80,248.30 : x
  2. Step 2: Convert to fraction form
    192,505.94/288,565.04 = 80,248.30/x
  3. Step 3: Cross multiply
    192,505.94x = 288,565.04 × 80,248.30
  4. Step 4: Simplify right side
    192,505.94x = 23,156,853,899.43
  5. Step 5: Solve for x
    x = 23,156,853,899.43/192,505.94
  6. Step 6: Final answer
    x = 120,291.63

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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.