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Finding the Fourth Proportional to 81,750.33, 112,811.79 and 47,761.95

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Solution

The fourth proportional to 81,750.33, 112,811.79 and 47,761.95 is: 65,909.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,750.33 : 112,811.79 = 47,761.95 : x
  2. Step 2: Convert to fraction form
    81,750.33/112,811.79 = 47,761.95/x
  3. Step 3: Cross multiply
    81,750.33x = 112,811.79 × 47,761.95
  4. Step 4: Simplify right side
    81,750.33x = 5,388,111,073.39
  5. Step 5: Solve for x
    x = 5,388,111,073.39/81,750.33
  6. Step 6: Final answer
    x = 65,909.35

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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.