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Finding the Fourth Proportional to 99,234.34, 136,849.56 and 65,182.75

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Solution

The fourth proportional to 99,234.34, 136,849.56 and 65,182.75 is: 89,890.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,234.34 : 136,849.56 = 65,182.75 : x
  2. Step 2: Convert to fraction form
    99,234.34/136,849.56 = 65,182.75/x
  3. Step 3: Cross multiply
    99,234.34x = 136,849.56 × 65,182.75
  4. Step 4: Simplify right side
    99,234.34x = 8,920,230,657.09
  5. Step 5: Solve for x
    x = 8,920,230,657.09/99,234.34
  6. Step 6: Final answer
    x = 89,890.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.