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Finding the Fourth Proportional to 101.06, 139.47 and 56.80

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Solution

The fourth proportional to 101.06, 139.47 and 56.80 is: 78.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.06 : 139.47 = 56.80 : x
  2. Step 2: Convert to fraction form
    101.06/139.47 = 56.80/x
  3. Step 3: Cross multiply
    101.06x = 139.47 × 56.80
  4. Step 4: Simplify right side
    101.06x = 7,921.61
  5. Step 5: Solve for x
    x = 7,921.61/101.06
  6. Step 6: Final answer
    x = 78.39

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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.