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Finding the Fourth Proportional to 70,894.80, 106,342.17 and 20,971.02

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Solution

The fourth proportional to 70,894.80, 106,342.17 and 20,971.02 is: 31,456.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,894.80 : 106,342.17 = 20,971.02 : x
  2. Step 2: Convert to fraction form
    70,894.80/106,342.17 = 20,971.02/x
  3. Step 3: Cross multiply
    70,894.80x = 106,342.17 × 20,971.02
  4. Step 4: Simplify right side
    70,894.80x = 2,230,103,773.91
  5. Step 5: Solve for x
    x = 2,230,103,773.91/70,894.80
  6. Step 6: Final answer
    x = 31,456.52

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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.