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Finding the Fourth Proportional to 71,238.84, 106,864.38 and 18,648.24

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Solution

The fourth proportional to 71,238.84, 106,864.38 and 18,648.24 is: 27,973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,238.84 : 106,864.38 = 18,648.24 : x
  2. Step 2: Convert to fraction form
    71,238.84/106,864.38 = 18,648.24/x
  3. Step 3: Cross multiply
    71,238.84x = 106,864.38 × 18,648.24
  4. Step 4: Simplify right side
    71,238.84x = 1,992,832,605.69
  5. Step 5: Solve for x
    x = 1,992,832,605.69/71,238.84
  6. Step 6: Final answer
    x = 27,973.96

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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.