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Finding the Fourth Proportional to 99.43, 137.06 and 78.68

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Solution

The fourth proportional to 99.43, 137.06 and 78.68 is: 108.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.43 : 137.06 = 78.68 : x
  2. Step 2: Convert to fraction form
    99.43/137.06 = 78.68/x
  3. Step 3: Cross multiply
    99.43x = 137.06 × 78.68
  4. Step 4: Simplify right side
    99.43x = 10,782.80
  5. Step 5: Solve for x
    x = 10,782.80/99.43
  6. Step 6: Final answer
    x = 108.45

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