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Finding the Fourth Proportional to 102,031.91, 140,843.27 and 68,028

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Solution

The fourth proportional to 102,031.91, 140,843.27 and 68,028 is: 93,904.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,031.91 : 140,843.27 = 68,028 : x
  2. Step 2: Convert to fraction form
    102,031.91/140,843.27 = 68,028/x
  3. Step 3: Cross multiply
    102,031.91x = 140,843.27 × 68,028
  4. Step 4: Simplify right side
    102,031.91x = 9,581,285,631.42
  5. Step 5: Solve for x
    x = 9,581,285,631.42/102,031.91
  6. Step 6: Final answer
    x = 93,904.80

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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.