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Finding the Fourth Proportional to 112.48, 154.86 and 101.38

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Solution

The fourth proportional to 112.48, 154.86 and 101.38 is: 139.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.48 : 154.86 = 101.38 : x
  2. Step 2: Convert to fraction form
    112.48/154.86 = 101.38/x
  3. Step 3: Cross multiply
    112.48x = 154.86 × 101.38
  4. Step 4: Simplify right side
    112.48x = 15,699.71
  5. Step 5: Solve for x
    x = 15,699.71/112.48
  6. Step 6: Final answer
    x = 139.58

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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.