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Finding the Fourth Proportional to 102.36, 153.34 and 78.01

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Solution

The fourth proportional to 102.36, 153.34 and 78.01 is: 116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.36 : 153.34 = 78.01 : x
  2. Step 2: Convert to fraction form
    102.36/153.34 = 78.01/x
  3. Step 3: Cross multiply
    102.36x = 153.34 × 78.01
  4. Step 4: Simplify right side
    102.36x = 11,962.78
  5. Step 5: Solve for x
    x = 11,962.78/102.36
  6. Step 6: Final answer
    x = 116.87

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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.