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Finding the Fourth Proportional to 72,956.89, 109,382.05 and 49,205.40

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Solution

The fourth proportional to 72,956.89, 109,382.05 and 49,205.40 is: 73,772.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,956.89 : 109,382.05 = 49,205.40 : x
  2. Step 2: Convert to fraction form
    72,956.89/109,382.05 = 49,205.40/x
  3. Step 3: Cross multiply
    72,956.89x = 109,382.05 × 49,205.40
  4. Step 4: Simplify right side
    72,956.89x = 5,382,187,523.07
  5. Step 5: Solve for x
    x = 5,382,187,523.07/72,956.89
  6. Step 6: Final answer
    x = 73,772.16

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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.