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Finding the Fourth Proportional to 83,444.46, 115,163.01 and 47,639.63

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Solution

The fourth proportional to 83,444.46, 115,163.01 and 47,639.63 is: 65,748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,444.46 : 115,163.01 = 47,639.63 : x
  2. Step 2: Convert to fraction form
    83,444.46/115,163.01 = 47,639.63/x
  3. Step 3: Cross multiply
    83,444.46x = 115,163.01 × 47,639.63
  4. Step 4: Simplify right side
    83,444.46x = 5,486,322,610.27
  5. Step 5: Solve for x
    x = 5,486,322,610.27/83,444.46
  6. Step 6: Final answer
    x = 65,748.19

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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.