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Finding the Fourth Proportional to 121,473.78, 182,272.21 and 81,947.87

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Solution

The fourth proportional to 121,473.78, 182,272.21 and 81,947.87 is: 122,963.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,473.78 : 182,272.21 = 81,947.87 : x
  2. Step 2: Convert to fraction form
    121,473.78/182,272.21 = 81,947.87/x
  3. Step 3: Cross multiply
    121,473.78x = 182,272.21 × 81,947.87
  4. Step 4: Simplify right side
    121,473.78x = 14,936,818,936.98
  5. Step 5: Solve for x
    x = 14,936,818,936.98/121,473.78
  6. Step 6: Final answer
    x = 122,963.32

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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.