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Finding the Fourth Proportional to 137.06, 189.20 and 104.32

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Solution

The fourth proportional to 137.06, 189.20 and 104.32 is: 144.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.06 : 189.20 = 104.32 : x
  2. Step 2: Convert to fraction form
    137.06/189.20 = 104.32/x
  3. Step 3: Cross multiply
    137.06x = 189.20 × 104.32
  4. Step 4: Simplify right side
    137.06x = 19,737.34
  5. Step 5: Solve for x
    x = 19,737.34/137.06
  6. Step 6: Final answer
    x = 144.01

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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.