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Finding the Fourth Proportional to 71,018.40, 106,490.40 and 21,091.68

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Solution

The fourth proportional to 71,018.40, 106,490.40 and 21,091.68 is: 31,626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,018.40 : 106,490.40 = 21,091.68 : x
  2. Step 2: Convert to fraction form
    71,018.40/106,490.40 = 21,091.68/x
  3. Step 3: Cross multiply
    71,018.40x = 106,490.40 × 21,091.68
  4. Step 4: Simplify right side
    71,018.40x = 2,246,061,439.87
  5. Step 5: Solve for x
    x = 2,246,061,439.87/71,018.40
  6. Step 6: Final answer
    x = 31,626.47

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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.