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Finding the Fourth Proportional to 147.81, 203.96 and 85.64

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Solution

The fourth proportional to 147.81, 203.96 and 85.64 is: 118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.81 : 203.96 = 85.64 : x
  2. Step 2: Convert to fraction form
    147.81/203.96 = 85.64/x
  3. Step 3: Cross multiply
    147.81x = 203.96 × 85.64
  4. Step 4: Simplify right side
    147.81x = 17,465.69
  5. Step 5: Solve for x
    x = 17,465.69/147.81
  6. Step 6: Final answer
    x = 118.16

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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.