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Finding the Fourth Proportional to 99.91, 138.50 and 98.47

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Solution

The fourth proportional to 99.91, 138.50 and 98.47 is: 136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.91 : 138.50 = 98.47 : x
  2. Step 2: Convert to fraction form
    99.91/138.50 = 98.47/x
  3. Step 3: Cross multiply
    99.91x = 138.50 × 98.47
  4. Step 4: Simplify right side
    99.91x = 13,638.10
  5. Step 5: Solve for x
    x = 13,638.10/99.91
  6. Step 6: Final answer
    x = 136.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.