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Finding the Fourth Proportional to 71,062.31, 106,583.74 and 21,150.11

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Solution

The fourth proportional to 71,062.31, 106,583.74 and 21,150.11 is: 31,722.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,062.31 : 106,583.74 = 21,150.11 : x
  2. Step 2: Convert to fraction form
    71,062.31/106,583.74 = 21,150.11/x
  3. Step 3: Cross multiply
    71,062.31x = 106,583.74 × 21,150.11
  4. Step 4: Simplify right side
    71,062.31x = 2,254,257,239.42
  5. Step 5: Solve for x
    x = 2,254,257,239.42/71,062.31
  6. Step 6: Final answer
    x = 31,722.26

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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.