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Finding the Fourth Proportional to 128.05, 192.08 and 46.87

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Solution

The fourth proportional to 128.05, 192.08 and 46.87 is: 70.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.05 : 192.08 = 46.87 : x
  2. Step 2: Convert to fraction form
    128.05/192.08 = 46.87/x
  3. Step 3: Cross multiply
    128.05x = 192.08 × 46.87
  4. Step 4: Simplify right side
    128.05x = 9,002.43
  5. Step 5: Solve for x
    x = 9,002.43/128.05
  6. Step 6: Final answer
    x = 70.31

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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.