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Finding the Fourth Proportional to 72,339.76, 99,840.66 and 49,659.92

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Solution

The fourth proportional to 72,339.76, 99,840.66 and 49,659.92 is: 68,538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,339.76 : 99,840.66 = 49,659.92 : x
  2. Step 2: Convert to fraction form
    72,339.76/99,840.66 = 49,659.92/x
  3. Step 3: Cross multiply
    72,339.76x = 99,840.66 × 49,659.92
  4. Step 4: Simplify right side
    72,339.76x = 4,958,079,188.35
  5. Step 5: Solve for x
    x = 4,958,079,188.35/72,339.76
  6. Step 6: Final answer
    x = 68,538.78

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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.