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Finding the Fourth Proportional to 130.02, 195.12 and 109.74

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Solution

The fourth proportional to 130.02, 195.12 and 109.74 is: 164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.02 : 195.12 = 109.74 : x
  2. Step 2: Convert to fraction form
    130.02/195.12 = 109.74/x
  3. Step 3: Cross multiply
    130.02x = 195.12 × 109.74
  4. Step 4: Simplify right side
    130.02x = 21,412.47
  5. Step 5: Solve for x
    x = 21,412.47/130.02
  6. Step 6: Final answer
    x = 164.69

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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.