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Finding the Fourth Proportional to 147.59, 203.63 and 97.83

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Solution

The fourth proportional to 147.59, 203.63 and 97.83 is: 134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.59 : 203.63 = 97.83 : x
  2. Step 2: Convert to fraction form
    147.59/203.63 = 97.83/x
  3. Step 3: Cross multiply
    147.59x = 203.63 × 97.83
  4. Step 4: Simplify right side
    147.59x = 19,920.63
  5. Step 5: Solve for x
    x = 19,920.63/147.59
  6. Step 6: Final answer
    x = 134.98

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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.