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Finding the Fourth Proportional to 83,485.80, 115,214.82 and 45,761.64

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Solution

The fourth proportional to 83,485.80, 115,214.82 and 45,761.64 is: 63,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,485.80 : 115,214.82 = 45,761.64 : x
  2. Step 2: Convert to fraction form
    83,485.80/115,214.82 = 45,761.64/x
  3. Step 3: Cross multiply
    83,485.80x = 115,214.82 × 45,761.64
  4. Step 4: Simplify right side
    83,485.80x = 5,272,419,115.50
  5. Step 5: Solve for x
    x = 5,272,419,115.50/83,485.80
  6. Step 6: Final answer
    x = 63,153.48

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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.