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Finding the Fourth Proportional to 71,009.91, 106,515.69 and 21,088.80

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Solution

The fourth proportional to 71,009.91, 106,515.69 and 21,088.80 is: 31,633.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,009.91 : 106,515.69 = 21,088.80 : x
  2. Step 2: Convert to fraction form
    71,009.91/106,515.69 = 21,088.80/x
  3. Step 3: Cross multiply
    71,009.91x = 106,515.69 × 21,088.80
  4. Step 4: Simplify right side
    71,009.91x = 2,246,288,083.27
  5. Step 5: Solve for x
    x = 2,246,288,083.27/71,009.91
  6. Step 6: Final answer
    x = 31,633.45

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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.