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Finding the Fourth Proportional to 109.62, 150.78 and 93.12

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Solution

The fourth proportional to 109.62, 150.78 and 93.12 is: 128.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.62 : 150.78 = 93.12 : x
  2. Step 2: Convert to fraction form
    109.62/150.78 = 93.12/x
  3. Step 3: Cross multiply
    109.62x = 150.78 × 93.12
  4. Step 4: Simplify right side
    109.62x = 14,040.63
  5. Step 5: Solve for x
    x = 14,040.63/109.62
  6. Step 6: Final answer
    x = 128.08

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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.