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Finding the Fourth Proportional to 51,879.52, 77,843.88 and 30,861

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Solution

The fourth proportional to 51,879.52, 77,843.88 and 30,861 is: 46,306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,879.52 : 77,843.88 = 30,861 : x
  2. Step 2: Convert to fraction form
    51,879.52/77,843.88 = 30,861/x
  3. Step 3: Cross multiply
    51,879.52x = 77,843.88 × 30,861
  4. Step 4: Simplify right side
    51,879.52x = 2,402,339,980.68
  5. Step 5: Solve for x
    x = 2,402,339,980.68/51,879.52
  6. Step 6: Final answer
    x = 46,306.13

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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.