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Finding the Fourth Proportional to 78,588.32, 117,879.30 and 19,422.44

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Solution

The fourth proportional to 78,588.32, 117,879.30 and 19,422.44 is: 29,132.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,588.32 : 117,879.30 = 19,422.44 : x
  2. Step 2: Convert to fraction form
    78,588.32/117,879.30 = 19,422.44/x
  3. Step 3: Cross multiply
    78,588.32x = 117,879.30 × 19,422.44
  4. Step 4: Simplify right side
    78,588.32x = 2,289,503,631.49
  5. Step 5: Solve for x
    x = 2,289,503,631.49/78,588.32
  6. Step 6: Final answer
    x = 29,132.87

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1.5x scale

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.