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Finding the Fourth Proportional to 147.56, 203.16 and 129.12

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Solution

The fourth proportional to 147.56, 203.16 and 129.12 is: 177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.56 : 203.16 = 129.12 : x
  2. Step 2: Convert to fraction form
    147.56/203.16 = 129.12/x
  3. Step 3: Cross multiply
    147.56x = 203.16 × 129.12
  4. Step 4: Simplify right side
    147.56x = 26,232.02
  5. Step 5: Solve for x
    x = 26,232.02/147.56
  6. Step 6: Final answer
    x = 177.77

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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.