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Finding the Fourth Proportional to 81,264.62, 121,945.38 and 36,282.49

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Solution

The fourth proportional to 81,264.62, 121,945.38 and 36,282.49 is: 54,445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,264.62 : 121,945.38 = 36,282.49 : x
  2. Step 2: Convert to fraction form
    81,264.62/121,945.38 = 36,282.49/x
  3. Step 3: Cross multiply
    81,264.62x = 121,945.38 × 36,282.49
  4. Step 4: Simplify right side
    81,264.62x = 4,424,482,030.40
  5. Step 5: Solve for x
    x = 4,424,482,030.40/81,264.62
  6. Step 6: Final answer
    x = 54,445.37

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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.