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Finding the Fourth Proportional to 72,138.60, 99,546.84 and 40,309.92

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Solution

The fourth proportional to 72,138.60, 99,546.84 and 40,309.92 is: 55,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,138.60 : 99,546.84 = 40,309.92 : x
  2. Step 2: Convert to fraction form
    72,138.60/99,546.84 = 40,309.92/x
  3. Step 3: Cross multiply
    72,138.60x = 99,546.84 × 40,309.92
  4. Step 4: Simplify right side
    72,138.60x = 4,012,725,156.65
  5. Step 5: Solve for x
    x = 4,012,725,156.65/72,138.60
  6. Step 6: Final answer
    x = 55,625.22

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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.