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Finding the Fourth Proportional to 70,948.92, 106,446.18 and 21,029.40

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Solution

The fourth proportional to 70,948.92, 106,446.18 and 21,029.40 is: 31,550.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,948.92 : 106,446.18 = 21,029.40 : x
  2. Step 2: Convert to fraction form
    70,948.92/106,446.18 = 21,029.40/x
  3. Step 3: Cross multiply
    70,948.92x = 106,446.18 × 21,029.40
  4. Step 4: Simplify right side
    70,948.92x = 2,238,499,297.69
  5. Step 5: Solve for x
    x = 2,238,499,297.69/70,948.92
  6. Step 6: Final answer
    x = 31,550.86

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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.