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Finding the Fourth Proportional to 90.54, 135.78 and 52.02

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Solution

The fourth proportional to 90.54, 135.78 and 52.02 is: 78.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.54 : 135.78 = 52.02 : x
  2. Step 2: Convert to fraction form
    90.54/135.78 = 52.02/x
  3. Step 3: Cross multiply
    90.54x = 135.78 × 52.02
  4. Step 4: Simplify right side
    90.54x = 7,063.28
  5. Step 5: Solve for x
    x = 7,063.28/90.54
  6. Step 6: Final answer
    x = 78.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.