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Finding the Fourth Proportional to 121.58, 180.74 and 117.93

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Solution

The fourth proportional to 121.58, 180.74 and 117.93 is: 175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.58 : 180.74 = 117.93 : x
  2. Step 2: Convert to fraction form
    121.58/180.74 = 117.93/x
  3. Step 3: Cross multiply
    121.58x = 180.74 × 117.93
  4. Step 4: Simplify right side
    121.58x = 21,314.08
  5. Step 5: Solve for x
    x = 21,314.08/121.58
  6. Step 6: Final answer
    x = 175.32

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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.