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Finding the Fourth Proportional to 60,780, 91,213.20 and 23,844

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Solution

The fourth proportional to 60,780, 91,213.20 and 23,844 is: 35,782.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,780 : 91,213.20 = 23,844 : x
  2. Step 2: Convert to fraction form
    60,780/91,213.20 = 23,844/x
  3. Step 3: Cross multiply
    60,780x = 91,213.20 × 23,844
  4. Step 4: Simplify right side
    60,780x = 2,174,887,540.80
  5. Step 5: Solve for x
    x = 2,174,887,540.80/60,780
  6. Step 6: Final answer
    x = 35,782.95

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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.