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Finding the Fourth Proportional to 45,316.88, 67,876.72 and 21,894

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Solution

The fourth proportional to 45,316.88, 67,876.72 and 21,894 is: 32,793.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,316.88 : 67,876.72 = 21,894 : x
  2. Step 2: Convert to fraction form
    45,316.88/67,876.72 = 21,894/x
  3. Step 3: Cross multiply
    45,316.88x = 67,876.72 × 21,894
  4. Step 4: Simplify right side
    45,316.88x = 1,486,092,907.68
  5. Step 5: Solve for x
    x = 1,486,092,907.68/45,316.88
  6. Step 6: Final answer
    x = 32,793.36

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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.