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Finding the Fourth Proportional to 129.60, 177.93 and 111.14

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Solution

The fourth proportional to 129.60, 177.93 and 111.14 is: 152.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.60 : 177.93 = 111.14 : x
  2. Step 2: Convert to fraction form
    129.60/177.93 = 111.14/x
  3. Step 3: Cross multiply
    129.60x = 177.93 × 111.14
  4. Step 4: Simplify right side
    129.60x = 19,774.92
  5. Step 5: Solve for x
    x = 19,774.92/129.60
  6. Step 6: Final answer
    x = 152.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.