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Finding the Fourth Proportional to 52,878.36, 79,257.06 and 21,675

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Solution

The fourth proportional to 52,878.36, 79,257.06 and 21,675 is: 32,487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,878.36 : 79,257.06 = 21,675 : x
  2. Step 2: Convert to fraction form
    52,878.36/79,257.06 = 21,675/x
  3. Step 3: Cross multiply
    52,878.36x = 79,257.06 × 21,675
  4. Step 4: Simplify right side
    52,878.36x = 1,717,896,775.50
  5. Step 5: Solve for x
    x = 1,717,896,775.50/52,878.36
  6. Step 6: Final answer
    x = 32,487.71

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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.