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Finding the Fourth Proportional to 83,804.20, 115,647.90 and 45,563.20

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Solution

The fourth proportional to 83,804.20, 115,647.90 and 45,563.20 is: 62,876.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,804.20 : 115,647.90 = 45,563.20 : x
  2. Step 2: Convert to fraction form
    83,804.20/115,647.90 = 45,563.20/x
  3. Step 3: Cross multiply
    83,804.20x = 115,647.90 × 45,563.20
  4. Step 4: Simplify right side
    83,804.20x = 5,269,288,397.28
  5. Step 5: Solve for x
    x = 5,269,288,397.28/83,804.20
  6. Step 6: Final answer
    x = 62,876.19

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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.