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Finding the Fourth Proportional to 83,187.97, 114,799.41 and 47,381.31

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Solution

The fourth proportional to 83,187.97, 114,799.41 and 47,381.31 is: 65,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,187.97 : 114,799.41 = 47,381.31 : x
  2. Step 2: Convert to fraction form
    83,187.97/114,799.41 = 47,381.31/x
  3. Step 3: Cross multiply
    83,187.97x = 114,799.41 × 47,381.31
  4. Step 4: Simplify right side
    83,187.97x = 5,439,346,433.03
  5. Step 5: Solve for x
    x = 5,439,346,433.03/83,187.97
  6. Step 6: Final answer
    x = 65,386.21

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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.