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Finding the Fourth Proportional to 83,500.99, 115,231.20 and 45,775.51

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Solution

The fourth proportional to 83,500.99, 115,231.20 and 45,775.51 is: 63,170.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,500.99 : 115,231.20 = 45,775.51 : x
  2. Step 2: Convert to fraction form
    83,500.99/115,231.20 = 45,775.51/x
  3. Step 3: Cross multiply
    83,500.99x = 115,231.20 × 45,775.51
  4. Step 4: Simplify right side
    83,500.99x = 5,274,766,947.91
  5. Step 5: Solve for x
    x = 5,274,766,947.91/83,500.99
  6. Step 6: Final answer
    x = 63,170.11

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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.