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Finding the Fourth Proportional to 71,018.91, 106,529.19 and 21,097.80

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Solution

The fourth proportional to 71,018.91, 106,529.19 and 21,097.80 is: 31,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,018.91 : 106,529.19 = 21,097.80 : x
  2. Step 2: Convert to fraction form
    71,018.91/106,529.19 = 21,097.80/x
  3. Step 3: Cross multiply
    71,018.91x = 106,529.19 × 21,097.80
  4. Step 4: Simplify right side
    71,018.91x = 2,247,531,544.78
  5. Step 5: Solve for x
    x = 2,247,531,544.78/71,018.91
  6. Step 6: Final answer
    x = 31,646.95

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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.