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Finding the Fourth Proportional to 101.61, 139.98 and 86.02

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Solution

The fourth proportional to 101.61, 139.98 and 86.02 is: 118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.61 : 139.98 = 86.02 : x
  2. Step 2: Convert to fraction form
    101.61/139.98 = 86.02/x
  3. Step 3: Cross multiply
    101.61x = 139.98 × 86.02
  4. Step 4: Simplify right side
    101.61x = 12,040.73
  5. Step 5: Solve for x
    x = 12,040.73/101.61
  6. Step 6: Final answer
    x = 118.50

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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.