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Finding the Fourth Proportional to 118,121.91, 177,082.49 and 54,978.71

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Solution

The fourth proportional to 118,121.91, 177,082.49 and 54,978.71 is: 82,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,121.91 : 177,082.49 = 54,978.71 : x
  2. Step 2: Convert to fraction form
    118,121.91/177,082.49 = 54,978.71/x
  3. Step 3: Cross multiply
    118,121.91x = 177,082.49 × 54,978.71
  4. Step 4: Simplify right side
    118,121.91x = 9,735,765,703.48
  5. Step 5: Solve for x
    x = 9,735,765,703.48/118,121.91
  6. Step 6: Final answer
    x = 82,421.34

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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.