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Finding the Fourth Proportional to 83,379.96, 115,064.22 and 45,139.32

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Solution

The fourth proportional to 83,379.96, 115,064.22 and 45,139.32 is: 62,292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,379.96 : 115,064.22 = 45,139.32 : x
  2. Step 2: Convert to fraction form
    83,379.96/115,064.22 = 45,139.32/x
  3. Step 3: Cross multiply
    83,379.96x = 115,064.22 × 45,139.32
  4. Step 4: Simplify right side
    83,379.96x = 5,193,920,647.13
  5. Step 5: Solve for x
    x = 5,193,920,647.13/83,379.96
  6. Step 6: Final answer
    x = 62,292.19

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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.