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Finding the Fourth Proportional to 139.07, 208.62 and 47.78

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Solution

The fourth proportional to 139.07, 208.62 and 47.78 is: 71.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.07 : 208.62 = 47.78 : x
  2. Step 2: Convert to fraction form
    139.07/208.62 = 47.78/x
  3. Step 3: Cross multiply
    139.07x = 208.62 × 47.78
  4. Step 4: Simplify right side
    139.07x = 9,967.86
  5. Step 5: Solve for x
    x = 9,967.86/139.07
  6. Step 6: Final answer
    x = 71.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.