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Finding the Fourth Proportional to 77,497.97, 116,221.37 and 30,109.73

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Solution

The fourth proportional to 77,497.97, 116,221.37 and 30,109.73 is: 45,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,497.97 : 116,221.37 = 30,109.73 : x
  2. Step 2: Convert to fraction form
    77,497.97/116,221.37 = 30,109.73/x
  3. Step 3: Cross multiply
    77,497.97x = 116,221.37 × 30,109.73
  4. Step 4: Simplify right side
    77,497.97x = 3,499,393,339.27
  5. Step 5: Solve for x
    x = 3,499,393,339.27/77,497.97
  6. Step 6: Final answer
    x = 45,154.65

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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.