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Finding the Fourth Proportional to 109.63, 151.32 and 78.49

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Solution

The fourth proportional to 109.63, 151.32 and 78.49 is: 108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.63 : 151.32 = 78.49 : x
  2. Step 2: Convert to fraction form
    109.63/151.32 = 78.49/x
  3. Step 3: Cross multiply
    109.63x = 151.32 × 78.49
  4. Step 4: Simplify right side
    109.63x = 11,877.11
  5. Step 5: Solve for x
    x = 11,877.11/109.63
  6. Step 6: Final answer
    x = 108.34

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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.