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Finding the Fourth Proportional to 83,579.95, 115,312.31 and 47,744.61

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Solution

The fourth proportional to 83,579.95, 115,312.31 and 47,744.61 is: 65,871.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,579.95 : 115,312.31 = 47,744.61 : x
  2. Step 2: Convert to fraction form
    83,579.95/115,312.31 = 47,744.61/x
  3. Step 3: Cross multiply
    83,579.95x = 115,312.31 × 47,744.61
  4. Step 4: Simplify right side
    83,579.95x = 5,505,540,777.05
  5. Step 5: Solve for x
    x = 5,505,540,777.05/83,579.95
  6. Step 6: Final answer
    x = 65,871.55

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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.