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Finding the Fourth Proportional to 82,572.30, 113,690.79 and 72,871.74

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Solution

The fourth proportional to 82,572.30, 113,690.79 and 72,871.74 is: 100,334.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,572.30 : 113,690.79 = 72,871.74 : x
  2. Step 2: Convert to fraction form
    82,572.30/113,690.79 = 72,871.74/x
  3. Step 3: Cross multiply
    82,572.30x = 113,690.79 × 72,871.74
  4. Step 4: Simplify right side
    82,572.30x = 8,284,845,689.27
  5. Step 5: Solve for x
    x = 8,284,845,689.27/82,572.30
  6. Step 6: Final answer
    x = 100,334.44

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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.