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Finding the Fourth Proportional to 100.84, 139.20 and 62.05

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Solution

The fourth proportional to 100.84, 139.20 and 62.05 is: 85.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.84 : 139.20 = 62.05 : x
  2. Step 2: Convert to fraction form
    100.84/139.20 = 62.05/x
  3. Step 3: Cross multiply
    100.84x = 139.20 × 62.05
  4. Step 4: Simplify right side
    100.84x = 8,637.36
  5. Step 5: Solve for x
    x = 8,637.36/100.84
  6. Step 6: Final answer
    x = 85.65

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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.