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Finding the Fourth Proportional to 83,497.12, 115,224.24 and 45,770.56

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Solution

The fourth proportional to 83,497.12, 115,224.24 and 45,770.56 is: 63,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,497.12 : 115,224.24 = 45,770.56 : x
  2. Step 2: Convert to fraction form
    83,497.12/115,224.24 = 45,770.56/x
  3. Step 3: Cross multiply
    83,497.12x = 115,224.24 × 45,770.56
  4. Step 4: Simplify right side
    83,497.12x = 5,273,877,990.37
  5. Step 5: Solve for x
    x = 5,273,877,990.37/83,497.12
  6. Step 6: Final answer
    x = 63,162.39

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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.