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Finding the Fourth Proportional to 84,034.57, 115,990.10 and 49,609.57

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Solution

The fourth proportional to 84,034.57, 115,990.10 and 49,609.57 is: 68,474.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,034.57 : 115,990.10 = 49,609.57 : x
  2. Step 2: Convert to fraction form
    84,034.57/115,990.10 = 49,609.57/x
  3. Step 3: Cross multiply
    84,034.57x = 115,990.10 × 49,609.57
  4. Step 4: Simplify right side
    84,034.57x = 5,754,218,985.26
  5. Step 5: Solve for x
    x = 5,754,218,985.26/84,034.57
  6. Step 6: Final answer
    x = 68,474.43

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1.5x scale

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.