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Finding the Fourth Proportional to 112.07, 154.70 and 65.48

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Solution

The fourth proportional to 112.07, 154.70 and 65.48 is: 90.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.07 : 154.70 = 65.48 : x
  2. Step 2: Convert to fraction form
    112.07/154.70 = 65.48/x
  3. Step 3: Cross multiply
    112.07x = 154.70 × 65.48
  4. Step 4: Simplify right side
    112.07x = 10,129.76
  5. Step 5: Solve for x
    x = 10,129.76/112.07
  6. Step 6: Final answer
    x = 90.39

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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.