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Finding the Fourth Proportional to 77,398.88, 116,103.78 and 30,651.75

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Solution

The fourth proportional to 77,398.88, 116,103.78 and 30,651.75 is: 45,979.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,398.88 : 116,103.78 = 30,651.75 : x
  2. Step 2: Convert to fraction form
    77,398.88/116,103.78 = 30,651.75/x
  3. Step 3: Cross multiply
    77,398.88x = 116,103.78 × 30,651.75
  4. Step 4: Simplify right side
    77,398.88x = 3,558,784,038.62
  5. Step 5: Solve for x
    x = 3,558,784,038.62/77,398.88
  6. Step 6: Final answer
    x = 45,979.79

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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.