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Finding the Fourth Proportional to 192,092.12, 288,172 and 65,702.68

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Solution

The fourth proportional to 192,092.12, 288,172 and 65,702.68 is: 98,565.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,092.12 : 288,172 = 65,702.68 : x
  2. Step 2: Convert to fraction form
    192,092.12/288,172 = 65,702.68/x
  3. Step 3: Cross multiply
    192,092.12x = 288,172 × 65,702.68
  4. Step 4: Simplify right side
    192,092.12x = 18,933,672,700.96
  5. Step 5: Solve for x
    x = 18,933,672,700.96/192,092.12
  6. Step 6: Final answer
    x = 98,565.59

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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.