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Finding the Fourth Proportional to 136.51, 203.80 and 116.01

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Solution

The fourth proportional to 136.51, 203.80 and 116.01 is: 173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.51 : 203.80 = 116.01 : x
  2. Step 2: Convert to fraction form
    136.51/203.80 = 116.01/x
  3. Step 3: Cross multiply
    136.51x = 203.80 × 116.01
  4. Step 4: Simplify right side
    136.51x = 23,642.55
  5. Step 5: Solve for x
    x = 23,642.55/136.51
  6. Step 6: Final answer
    x = 173.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.