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Finding the Fourth Proportional to 137.10, 189.15 and 111.06

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Solution

The fourth proportional to 137.10, 189.15 and 111.06 is: 153.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.10 : 189.15 = 111.06 : x
  2. Step 2: Convert to fraction form
    137.10/189.15 = 111.06/x
  3. Step 3: Cross multiply
    137.10x = 189.15 × 111.06
  4. Step 4: Simplify right side
    137.10x = 21,007.00
  5. Step 5: Solve for x
    x = 21,007.00/137.10
  6. Step 6: Final answer
    x = 153.22

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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.