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Finding the Fourth Proportional to 136.24, 204.19 and 78.45

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Solution

The fourth proportional to 136.24, 204.19 and 78.45 is: 117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.24 : 204.19 = 78.45 : x
  2. Step 2: Convert to fraction form
    136.24/204.19 = 78.45/x
  3. Step 3: Cross multiply
    136.24x = 204.19 × 78.45
  4. Step 4: Simplify right side
    136.24x = 16,018.71
  5. Step 5: Solve for x
    x = 16,018.71/136.24
  6. Step 6: Final answer
    x = 117.58

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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.