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Finding the Fourth Proportional to 39,148.80, 54,006.88 and 22,372

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Solution

The fourth proportional to 39,148.80, 54,006.88 and 22,372 is: 30,862.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,148.80 : 54,006.88 = 22,372 : x
  2. Step 2: Convert to fraction form
    39,148.80/54,006.88 = 22,372/x
  3. Step 3: Cross multiply
    39,148.80x = 54,006.88 × 22,372
  4. Step 4: Simplify right side
    39,148.80x = 1,208,241,919.36
  5. Step 5: Solve for x
    x = 1,208,241,919.36/39,148.80
  6. Step 6: Final answer
    x = 30,862.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.