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Finding the Fourth Proportional to 160,043.20, 240,215.42 and 81,214

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Solution

The fourth proportional to 160,043.20, 240,215.42 and 81,214 is: 121,897.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,043.20 : 240,215.42 = 81,214 : x
  2. Step 2: Convert to fraction form
    160,043.20/240,215.42 = 81,214/x
  3. Step 3: Cross multiply
    160,043.20x = 240,215.42 × 81,214
  4. Step 4: Simplify right side
    160,043.20x = 19,508,855,119.88
  5. Step 5: Solve for x
    x = 19,508,855,119.88/160,043.20
  6. Step 6: Final answer
    x = 121,897.43

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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.