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Finding the Fourth Proportional to 83,309.12, 124,949.64 and 35,911.16

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Solution

The fourth proportional to 83,309.12, 124,949.64 and 35,911.16 is: 53,860.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,309.12 : 124,949.64 = 35,911.16 : x
  2. Step 2: Convert to fraction form
    83,309.12/124,949.64 = 35,911.16/x
  3. Step 3: Cross multiply
    83,309.12x = 124,949.64 × 35,911.16
  4. Step 4: Simplify right side
    83,309.12x = 4,487,086,513.98
  5. Step 5: Solve for x
    x = 4,487,086,513.98/83,309.12
  6. Step 6: Final answer
    x = 53,860.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.