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Finding the Fourth Proportional to 98.78, 148.37 and 86.63

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Solution

The fourth proportional to 98.78, 148.37 and 86.63 is: 130.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.78 : 148.37 = 86.63 : x
  2. Step 2: Convert to fraction form
    98.78/148.37 = 86.63/x
  3. Step 3: Cross multiply
    98.78x = 148.37 × 86.63
  4. Step 4: Simplify right side
    98.78x = 12,852.12
  5. Step 5: Solve for x
    x = 12,852.12/98.78
  6. Step 6: Final answer
    x = 130.12

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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.