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Finding the Fourth Proportional to 78,586.85, 117,879.13 and 19,422.53

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Solution

The fourth proportional to 78,586.85, 117,879.13 and 19,422.53 is: 29,133.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,586.85 : 117,879.13 = 19,422.53 : x
  2. Step 2: Convert to fraction form
    78,586.85/117,879.13 = 19,422.53/x
  3. Step 3: Cross multiply
    78,586.85x = 117,879.13 × 19,422.53
  4. Step 4: Simplify right side
    78,586.85x = 2,289,510,938.80
  5. Step 5: Solve for x
    x = 2,289,510,938.80/78,586.85
  6. Step 6: Final answer
    x = 29,133.51

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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.