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Finding the Fourth Proportional to 99.99, 137.88 and 79.23

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Solution

The fourth proportional to 99.99, 137.88 and 79.23 is: 109.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.99 : 137.88 = 79.23 : x
  2. Step 2: Convert to fraction form
    99.99/137.88 = 79.23/x
  3. Step 3: Cross multiply
    99.99x = 137.88 × 79.23
  4. Step 4: Simplify right side
    99.99x = 10,924.23
  5. Step 5: Solve for x
    x = 10,924.23/99.99
  6. Step 6: Final answer
    x = 109.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.