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Finding the Fourth Proportional to 128.96, 192.50 and 118.14

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Solution

The fourth proportional to 128.96, 192.50 and 118.14 is: 176.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.96 : 192.50 = 118.14 : x
  2. Step 2: Convert to fraction form
    128.96/192.50 = 118.14/x
  3. Step 3: Cross multiply
    128.96x = 192.50 × 118.14
  4. Step 4: Simplify right side
    128.96x = 22,741.95
  5. Step 5: Solve for x
    x = 22,741.95/128.96
  6. Step 6: Final answer
    x = 176.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.