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Finding the Fourth Proportional to 128.04, 193.12 and 113.02

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Solution

The fourth proportional to 128.04, 193.12 and 113.02 is: 170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.04 : 193.12 = 113.02 : x
  2. Step 2: Convert to fraction form
    128.04/193.12 = 113.02/x
  3. Step 3: Cross multiply
    128.04x = 193.12 × 113.02
  4. Step 4: Simplify right side
    128.04x = 21,826.42
  5. Step 5: Solve for x
    x = 21,826.42/128.04
  6. Step 6: Final answer
    x = 170.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.