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Finding the Fourth Proportional to 98.58, 147.66 and 80.35

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Solution

The fourth proportional to 98.58, 147.66 and 80.35 is: 120.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.58 : 147.66 = 80.35 : x
  2. Step 2: Convert to fraction form
    98.58/147.66 = 80.35/x
  3. Step 3: Cross multiply
    98.58x = 147.66 × 80.35
  4. Step 4: Simplify right side
    98.58x = 11,864.48
  5. Step 5: Solve for x
    x = 11,864.48/98.58
  6. Step 6: Final answer
    x = 120.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.