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Finding the Fourth Proportional to 83,614.68, 125,429.04 and 21,285

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Solution

The fourth proportional to 83,614.68, 125,429.04 and 21,285 is: 31,929.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,614.68 : 125,429.04 = 21,285 : x
  2. Step 2: Convert to fraction form
    83,614.68/125,429.04 = 21,285/x
  3. Step 3: Cross multiply
    83,614.68x = 125,429.04 × 21,285
  4. Step 4: Simplify right side
    83,614.68x = 2,669,757,116.40
  5. Step 5: Solve for x
    x = 2,669,757,116.40/83,614.68
  6. Step 6: Final answer
    x = 31,929.29

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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.