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Finding the Fourth Proportional to 139,760.40, 192,865.14 and 77,670.69

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Solution

The fourth proportional to 139,760.40, 192,865.14 and 77,670.69 is: 107,183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,760.40 : 192,865.14 = 77,670.69 : x
  2. Step 2: Convert to fraction form
    139,760.40/192,865.14 = 77,670.69/x
  3. Step 3: Cross multiply
    139,760.40x = 192,865.14 × 77,670.69
  4. Step 4: Simplify right side
    139,760.40x = 14,979,968,500.75
  5. Step 5: Solve for x
    x = 14,979,968,500.75/139,760.40
  6. Step 6: Final answer
    x = 107,183.21

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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.