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Finding the Fourth Proportional to 147.82, 204.14 and 117.06

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Solution

The fourth proportional to 147.82, 204.14 and 117.06 is: 161.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.82 : 204.14 = 117.06 : x
  2. Step 2: Convert to fraction form
    147.82/204.14 = 117.06/x
  3. Step 3: Cross multiply
    147.82x = 204.14 × 117.06
  4. Step 4: Simplify right side
    147.82x = 23,896.63
  5. Step 5: Solve for x
    x = 23,896.63/147.82
  6. Step 6: Final answer
    x = 161.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.