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Finding the Fourth Proportional to 105,843.28, 158,721.12 and 45,027.76

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Solution

The fourth proportional to 105,843.28, 158,721.12 and 45,027.76 is: 67,523.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,843.28 : 158,721.12 = 45,027.76 : x
  2. Step 2: Convert to fraction form
    105,843.28/158,721.12 = 45,027.76/x
  3. Step 3: Cross multiply
    105,843.28x = 158,721.12 × 45,027.76
  4. Step 4: Simplify right side
    105,843.28x = 7,146,856,498.29
  5. Step 5: Solve for x
    x = 7,146,856,498.29/105,843.28
  6. Step 6: Final answer
    x = 67,523.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.