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Finding the Fourth Proportional to 135.77, 203.59 and 78.01

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Solution

The fourth proportional to 135.77, 203.59 and 78.01 is: 116.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.77 : 203.59 = 78.01 : x
  2. Step 2: Convert to fraction form
    135.77/203.59 = 78.01/x
  3. Step 3: Cross multiply
    135.77x = 203.59 × 78.01
  4. Step 4: Simplify right side
    135.77x = 15,882.06
  5. Step 5: Solve for x
    x = 15,882.06/135.77
  6. Step 6: Final answer
    x = 116.98

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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.