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Finding the Fourth Proportional to 128.01, 176.54 and 78.78

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Solution

The fourth proportional to 128.01, 176.54 and 78.78 is: 108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.01 : 176.54 = 78.78 : x
  2. Step 2: Convert to fraction form
    128.01/176.54 = 78.78/x
  3. Step 3: Cross multiply
    128.01x = 176.54 × 78.78
  4. Step 4: Simplify right side
    128.01x = 13,907.43
  5. Step 5: Solve for x
    x = 13,907.43/128.01
  6. Step 6: Final answer
    x = 108.64

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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.