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Finding the Fourth Proportional to 136.53, 188.43 and 77.53

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Solution

The fourth proportional to 136.53, 188.43 and 77.53 is: 107.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.53 : 188.43 = 77.53 : x
  2. Step 2: Convert to fraction form
    136.53/188.43 = 77.53/x
  3. Step 3: Cross multiply
    136.53x = 188.43 × 77.53
  4. Step 4: Simplify right side
    136.53x = 14,608.15
  5. Step 5: Solve for x
    x = 14,608.15/136.53
  6. Step 6: Final answer
    x = 107.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.