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Finding the Fourth Proportional to 129.13, 193.90 and 78.01

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Solution

The fourth proportional to 129.13, 193.90 and 78.01 is: 117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.13 : 193.90 = 78.01 : x
  2. Step 2: Convert to fraction form
    129.13/193.90 = 78.01/x
  3. Step 3: Cross multiply
    129.13x = 193.90 × 78.01
  4. Step 4: Simplify right side
    129.13x = 15,126.14
  5. Step 5: Solve for x
    x = 15,126.14/129.13
  6. Step 6: Final answer
    x = 117.14

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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.