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Finding the Fourth Proportional to 83,385.60, 115,072.08 and 45,659.84

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Solution

The fourth proportional to 83,385.60, 115,072.08 and 45,659.84 is: 63,010.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,385.60 : 115,072.08 = 45,659.84 : x
  2. Step 2: Convert to fraction form
    83,385.60/115,072.08 = 45,659.84/x
  3. Step 3: Cross multiply
    83,385.60x = 115,072.08 × 45,659.84
  4. Step 4: Simplify right side
    83,385.60x = 5,254,172,761.27
  5. Step 5: Solve for x
    x = 5,254,172,761.27/83,385.60
  6. Step 6: Final answer
    x = 63,010.55

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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.