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Finding the Fourth Proportional to 72,736.92, 100,378.08 and 40,474.08

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Solution

The fourth proportional to 72,736.92, 100,378.08 and 40,474.08 is: 55,854.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,736.92 : 100,378.08 = 40,474.08 : x
  2. Step 2: Convert to fraction form
    72,736.92/100,378.08 = 40,474.08/x
  3. Step 3: Cross multiply
    72,736.92x = 100,378.08 × 40,474.08
  4. Step 4: Simplify right side
    72,736.92x = 4,062,710,440.17
  5. Step 5: Solve for x
    x = 4,062,710,440.17/72,736.92
  6. Step 6: Final answer
    x = 55,854.86

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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.