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Finding the Fourth Proportional to 72,807.17, 100,504.89 and 48,947.68

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Solution

The fourth proportional to 72,807.17, 100,504.89 and 48,947.68 is: 67,568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,807.17 : 100,504.89 = 48,947.68 : x
  2. Step 2: Convert to fraction form
    72,807.17/100,504.89 = 48,947.68/x
  3. Step 3: Cross multiply
    72,807.17x = 100,504.89 × 48,947.68
  4. Step 4: Simplify right side
    72,807.17x = 4,919,481,194.16
  5. Step 5: Solve for x
    x = 4,919,481,194.16/72,807.17
  6. Step 6: Final answer
    x = 67,568.64

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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.