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Finding the Fourth Proportional to 98.59, 148.43 and 71.72

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Solution

The fourth proportional to 98.59, 148.43 and 71.72 is: 107.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.59 : 148.43 = 71.72 : x
  2. Step 2: Convert to fraction form
    98.59/148.43 = 71.72/x
  3. Step 3: Cross multiply
    98.59x = 148.43 × 71.72
  4. Step 4: Simplify right side
    98.59x = 10,645.40
  5. Step 5: Solve for x
    x = 10,645.40/98.59
  6. Step 6: Final answer
    x = 107.98

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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.