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Finding the Fourth Proportional to 70,876.34, 106,335.27 and 20,957.73

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Solution

The fourth proportional to 70,876.34, 106,335.27 and 20,957.73 is: 31,442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,876.34 : 106,335.27 = 20,957.73 : x
  2. Step 2: Convert to fraction form
    70,876.34/106,335.27 = 20,957.73/x
  3. Step 3: Cross multiply
    70,876.34x = 106,335.27 × 20,957.73
  4. Step 4: Simplify right side
    70,876.34x = 2,228,545,878.14
  5. Step 5: Solve for x
    x = 2,228,545,878.14/70,876.34
  6. Step 6: Final answer
    x = 31,442.74

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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.