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Finding the Fourth Proportional to 83,215.32, 114,836.99 and 45,489.57

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Solution

The fourth proportional to 83,215.32, 114,836.99 and 45,489.57 is: 62,775.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,215.32 : 114,836.99 = 45,489.57 : x
  2. Step 2: Convert to fraction form
    83,215.32/114,836.99 = 45,489.57/x
  3. Step 3: Cross multiply
    83,215.32x = 114,836.99 × 45,489.57
  4. Step 4: Simplify right side
    83,215.32x = 5,223,885,067.75
  5. Step 5: Solve for x
    x = 5,223,885,067.75/83,215.32
  6. Step 6: Final answer
    x = 62,775.52

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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.