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Finding the Fourth Proportional to 83,419.88, 115,119.43 and 45,694.13

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Solution

The fourth proportional to 83,419.88, 115,119.43 and 45,694.13 is: 63,057.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,419.88 : 115,119.43 = 45,694.13 : x
  2. Step 2: Convert to fraction form
    83,419.88/115,119.43 = 45,694.13/x
  3. Step 3: Cross multiply
    83,419.88x = 115,119.43 × 45,694.13
  4. Step 4: Simplify right side
    83,419.88x = 5,260,281,510.11
  5. Step 5: Solve for x
    x = 5,260,281,510.11/83,419.88
  6. Step 6: Final answer
    x = 63,057.89

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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.