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Finding the Fourth Proportional to 71,325.30, 106,972.47 and 21,392.01

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Solution

The fourth proportional to 71,325.30, 106,972.47 and 21,392.01 is: 32,083.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,325.30 : 106,972.47 = 21,392.01 : x
  2. Step 2: Convert to fraction form
    71,325.30/106,972.47 = 21,392.01/x
  3. Step 3: Cross multiply
    71,325.30x = 106,972.47 × 21,392.01
  4. Step 4: Simplify right side
    71,325.30x = 2,288,356,147.96
  5. Step 5: Solve for x
    x = 2,288,356,147.96/71,325.30
  6. Step 6: Final answer
    x = 32,083.37

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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.