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Finding the Fourth Proportional to 60,786, 91,195.20 and 19,233

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Solution

The fourth proportional to 60,786, 91,195.20 and 19,233 is: 28,854.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,786 : 91,195.20 = 19,233 : x
  2. Step 2: Convert to fraction form
    60,786/91,195.20 = 19,233/x
  3. Step 3: Cross multiply
    60,786x = 91,195.20 × 19,233
  4. Step 4: Simplify right side
    60,786x = 1,753,957,281.60
  5. Step 5: Solve for x
    x = 1,753,957,281.60/60,786
  6. Step 6: Final answer
    x = 28,854.63

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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.