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Finding the Fourth Proportional to 81,641.88, 112,689.27 and 49,376.52

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Solution

The fourth proportional to 81,641.88, 112,689.27 and 49,376.52 is: 68,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,641.88 : 112,689.27 = 49,376.52 : x
  2. Step 2: Convert to fraction form
    81,641.88/112,689.27 = 49,376.52/x
  3. Step 3: Cross multiply
    81,641.88x = 112,689.27 × 49,376.52
  4. Step 4: Simplify right side
    81,641.88x = 5,564,203,993.94
  5. Step 5: Solve for x
    x = 5,564,203,993.94/81,641.88
  6. Step 6: Final answer
    x = 68,153.80

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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.