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Finding the Fourth Proportional to 136.59, 204.74 and 59.57

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Solution

The fourth proportional to 136.59, 204.74 and 59.57 is: 89.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.59 : 204.74 = 59.57 : x
  2. Step 2: Convert to fraction form
    136.59/204.74 = 59.57/x
  3. Step 3: Cross multiply
    136.59x = 204.74 × 59.57
  4. Step 4: Simplify right side
    136.59x = 12,195.04
  5. Step 5: Solve for x
    x = 12,195.04/136.59
  6. Step 6: Final answer
    x = 89.28

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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.