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Finding the Fourth Proportional to 83,433.67, 115,137.51 and 45,192.49

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Solution

The fourth proportional to 83,433.67, 115,137.51 and 45,192.49 is: 62,365.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,433.67 : 115,137.51 = 45,192.49 : x
  2. Step 2: Convert to fraction form
    83,433.67/115,137.51 = 45,192.49/x
  3. Step 3: Cross multiply
    83,433.67x = 115,137.51 × 45,192.49
  4. Step 4: Simplify right side
    83,433.67x = 5,203,350,769.30
  5. Step 5: Solve for x
    x = 5,203,350,769.30/83,433.67
  6. Step 6: Final answer
    x = 62,365.12

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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.