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Finding the Fourth Proportional to 77,879.34, 116,863.38 and 30,498.30

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Solution

The fourth proportional to 77,879.34, 116,863.38 and 30,498.30 is: 45,764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,879.34 : 116,863.38 = 30,498.30 : x
  2. Step 2: Convert to fraction form
    77,879.34/116,863.38 = 30,498.30/x
  3. Step 3: Cross multiply
    77,879.34x = 116,863.38 × 30,498.30
  4. Step 4: Simplify right side
    77,879.34x = 3,564,134,422.25
  5. Step 5: Solve for x
    x = 3,564,134,422.25/77,879.34
  6. Step 6: Final answer
    x = 45,764.83

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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.