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Finding the Fourth Proportional to 105,882.32, 146,106.84 and 63,439.76

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Solution

The fourth proportional to 105,882.32, 146,106.84 and 63,439.76 is: 87,540.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,882.32 : 146,106.84 = 63,439.76 : x
  2. Step 2: Convert to fraction form
    105,882.32/146,106.84 = 63,439.76/x
  3. Step 3: Cross multiply
    105,882.32x = 146,106.84 × 63,439.76
  4. Step 4: Simplify right side
    105,882.32x = 9,268,982,863.96
  5. Step 5: Solve for x
    x = 9,268,982,863.96/105,882.32
  6. Step 6: Final answer
    x = 87,540.42

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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.