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Finding the Fourth Proportional to 128.16, 192.14 and 50.06

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Solution

The fourth proportional to 128.16, 192.14 and 50.06 is: 75.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.16 : 192.14 = 50.06 : x
  2. Step 2: Convert to fraction form
    128.16/192.14 = 50.06/x
  3. Step 3: Cross multiply
    128.16x = 192.14 × 50.06
  4. Step 4: Simplify right side
    128.16x = 9,618.95
  5. Step 5: Solve for x
    x = 9,618.95/128.16
  6. Step 6: Final answer
    x = 75.05

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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.