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Finding the Fourth Proportional to 100.94, 139.15 and 71.35

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Solution

The fourth proportional to 100.94, 139.15 and 71.35 is: 98.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.94 : 139.15 = 71.35 : x
  2. Step 2: Convert to fraction form
    100.94/139.15 = 71.35/x
  3. Step 3: Cross multiply
    100.94x = 139.15 × 71.35
  4. Step 4: Simplify right side
    100.94x = 9,927.92
  5. Step 5: Solve for x
    x = 9,927.92/100.94
  6. Step 6: Final answer
    x = 98.35

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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.