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Finding the Fourth Proportional to 98.55, 147.87 and 71.10

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Solution

The fourth proportional to 98.55, 147.87 and 71.10 is: 106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.55 : 147.87 = 71.10 : x
  2. Step 2: Convert to fraction form
    98.55/147.87 = 71.10/x
  3. Step 3: Cross multiply
    98.55x = 147.87 × 71.10
  4. Step 4: Simplify right side
    98.55x = 10,513.56
  5. Step 5: Solve for x
    x = 10,513.56/98.55
  6. Step 6: Final answer
    x = 106.68

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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.