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Finding the Fourth Proportional to 129.14, 193.64 and 90.14

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Solution

The fourth proportional to 129.14, 193.64 and 90.14 is: 135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.14 : 193.64 = 90.14 : x
  2. Step 2: Convert to fraction form
    129.14/193.64 = 90.14/x
  3. Step 3: Cross multiply
    129.14x = 193.64 × 90.14
  4. Step 4: Simplify right side
    129.14x = 17,454.71
  5. Step 5: Solve for x
    x = 17,454.71/129.14
  6. Step 6: Final answer
    x = 135.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.