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Finding the Fourth Proportional to 83,699.49, 115,487.33 and 49,719.43

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Solution

The fourth proportional to 83,699.49, 115,487.33 and 49,719.43 is: 68,602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,699.49 : 115,487.33 = 49,719.43 : x
  2. Step 2: Convert to fraction form
    83,699.49/115,487.33 = 49,719.43/x
  3. Step 3: Cross multiply
    83,699.49x = 115,487.33 × 49,719.43
  4. Step 4: Simplify right side
    83,699.49x = 5,741,964,312.95
  5. Step 5: Solve for x
    x = 5,741,964,312.95/83,699.49
  6. Step 6: Final answer
    x = 68,602.14

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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.