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Finding the Fourth Proportional to 117.72, 177.56 and 114.07

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Solution

The fourth proportional to 117.72, 177.56 and 114.07 is: 172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.72 : 177.56 = 114.07 : x
  2. Step 2: Convert to fraction form
    117.72/177.56 = 114.07/x
  3. Step 3: Cross multiply
    117.72x = 177.56 × 114.07
  4. Step 4: Simplify right side
    117.72x = 20,254.27
  5. Step 5: Solve for x
    x = 20,254.27/117.72
  6. Step 6: Final answer
    x = 172.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.