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Finding the Fourth Proportional to 130.02, 194.64 and 121.47

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Solution

The fourth proportional to 130.02, 194.64 and 121.47 is: 181.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.02 : 194.64 = 121.47 : x
  2. Step 2: Convert to fraction form
    130.02/194.64 = 121.47/x
  3. Step 3: Cross multiply
    130.02x = 194.64 × 121.47
  4. Step 4: Simplify right side
    130.02x = 23,642.92
  5. Step 5: Solve for x
    x = 23,642.92/130.02
  6. Step 6: Final answer
    x = 181.84

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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.