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Finding the Fourth Proportional to 129.03, 192.54 and 117.53

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Solution

The fourth proportional to 129.03, 192.54 and 117.53 is: 175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.03 : 192.54 = 117.53 : x
  2. Step 2: Convert to fraction form
    129.03/192.54 = 117.53/x
  3. Step 3: Cross multiply
    129.03x = 192.54 × 117.53
  4. Step 4: Simplify right side
    129.03x = 22,629.23
  5. Step 5: Solve for x
    x = 22,629.23/129.03
  6. Step 6: Final answer
    x = 175.38

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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.