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Finding the Fourth Proportional to 137.47, 189.76 and 93.83

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Solution

The fourth proportional to 137.47, 189.76 and 93.83 is: 129.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.47 : 189.76 = 93.83 : x
  2. Step 2: Convert to fraction form
    137.47/189.76 = 93.83/x
  3. Step 3: Cross multiply
    137.47x = 189.76 × 93.83
  4. Step 4: Simplify right side
    137.47x = 17,805.18
  5. Step 5: Solve for x
    x = 17,805.18/137.47
  6. Step 6: Final answer
    x = 129.52

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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.