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Finding the Fourth Proportional to 71,658, 107,487.23 and 21,738.51

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Solution

The fourth proportional to 71,658, 107,487.23 and 21,738.51 is: 32,607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,658 : 107,487.23 = 21,738.51 : x
  2. Step 2: Convert to fraction form
    71,658/107,487.23 = 21,738.51/x
  3. Step 3: Cross multiply
    71,658x = 107,487.23 × 21,738.51
  4. Step 4: Simplify right side
    71,658x = 2,336,612,115.53
  5. Step 5: Solve for x
    x = 2,336,612,115.53/71,658
  6. Step 6: Final answer
    x = 32,607.83

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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.