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Finding the Fourth Proportional to 77,642.62, 116,488.52 and 27,721.60

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Solution

The fourth proportional to 77,642.62, 116,488.52 and 27,721.60 is: 41,591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,642.62 : 116,488.52 = 27,721.60 : x
  2. Step 2: Convert to fraction form
    77,642.62/116,488.52 = 27,721.60/x
  3. Step 3: Cross multiply
    77,642.62x = 116,488.52 × 27,721.60
  4. Step 4: Simplify right side
    77,642.62x = 3,229,248,516.56
  5. Step 5: Solve for x
    x = 3,229,248,516.56/77,642.62
  6. Step 6: Final answer
    x = 41,591.19

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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.