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Finding the Fourth Proportional to 83,456.64, 115,170.21 and 45,730.89

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Solution

The fourth proportional to 83,456.64, 115,170.21 and 45,730.89 is: 63,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,456.64 : 115,170.21 = 45,730.89 : x
  2. Step 2: Convert to fraction form
    83,456.64/115,170.21 = 45,730.89/x
  3. Step 3: Cross multiply
    83,456.64x = 115,170.21 × 45,730.89
  4. Step 4: Simplify right side
    83,456.64x = 5,266,836,204.79
  5. Step 5: Solve for x
    x = 5,266,836,204.79/83,456.64
  6. Step 6: Final answer
    x = 63,108.65

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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.