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Finding the Fourth Proportional to 71,166.78, 106,746.52 and 21,247.29

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Solution

The fourth proportional to 71,166.78, 106,746.52 and 21,247.29 is: 31,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,166.78 : 106,746.52 = 21,247.29 : x
  2. Step 2: Convert to fraction form
    71,166.78/106,746.52 = 21,247.29/x
  3. Step 3: Cross multiply
    71,166.78x = 106,746.52 × 21,247.29
  4. Step 4: Simplify right side
    71,166.78x = 2,268,074,266.93
  5. Step 5: Solve for x
    x = 2,268,074,266.93/71,166.78
  6. Step 6: Final answer
    x = 31,869.85

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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.