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Finding the Fourth Proportional to 71,108.23, 106,679.88 and 21,188.13

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Solution

The fourth proportional to 71,108.23, 106,679.88 and 21,188.13 is: 31,787.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,108.23 : 106,679.88 = 21,188.13 : x
  2. Step 2: Convert to fraction form
    71,108.23/106,679.88 = 21,188.13/x
  3. Step 3: Cross multiply
    71,108.23x = 106,679.88 × 21,188.13
  4. Step 4: Simplify right side
    71,108.23x = 2,260,347,165.82
  5. Step 5: Solve for x
    x = 2,260,347,165.82/71,108.23
  6. Step 6: Final answer
    x = 31,787.42

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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.