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Finding the Fourth Proportional to 105.50, 145.28 and 93.89

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Solution

The fourth proportional to 105.50, 145.28 and 93.89 is: 129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.50 : 145.28 = 93.89 : x
  2. Step 2: Convert to fraction form
    105.50/145.28 = 93.89/x
  3. Step 3: Cross multiply
    105.50x = 145.28 × 93.89
  4. Step 4: Simplify right side
    105.50x = 13,639.14
  5. Step 5: Solve for x
    x = 13,639.14/105.50
  6. Step 6: Final answer
    x = 129.29

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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.