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Finding the Fourth Proportional to 83,412.87, 115,109.79 and 45,687.12

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Solution

The fourth proportional to 83,412.87, 115,109.79 and 45,687.12 is: 63,048.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,412.87 : 115,109.79 = 45,687.12 : x
  2. Step 2: Convert to fraction form
    83,412.87/115,109.79 = 45,687.12/x
  3. Step 3: Cross multiply
    83,412.87x = 115,109.79 × 45,687.12
  4. Step 4: Simplify right side
    83,412.87x = 5,259,034,788.90
  5. Step 5: Solve for x
    x = 5,259,034,788.90/83,412.87
  6. Step 6: Final answer
    x = 63,048.24

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1.5x scale

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.