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Finding the Fourth Proportional to 137.31, 189.53 and 79.13

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Solution

The fourth proportional to 137.31, 189.53 and 79.13 is: 109.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.31 : 189.53 = 79.13 : x
  2. Step 2: Convert to fraction form
    137.31/189.53 = 79.13/x
  3. Step 3: Cross multiply
    137.31x = 189.53 × 79.13
  4. Step 4: Simplify right side
    137.31x = 14,997.51
  5. Step 5: Solve for x
    x = 14,997.51/137.31
  6. Step 6: Final answer
    x = 109.22

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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.