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Finding the Fourth Proportional to 47,156.77, 70,724.62 and 13,879.14

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Solution

The fourth proportional to 47,156.77, 70,724.62 and 13,879.14 is: 20,815.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,156.77 : 70,724.62 = 13,879.14 : x
  2. Step 2: Convert to fraction form
    47,156.77/70,724.62 = 13,879.14/x
  3. Step 3: Cross multiply
    47,156.77x = 70,724.62 × 13,879.14
  4. Step 4: Simplify right side
    47,156.77x = 981,596,902.43
  5. Step 5: Solve for x
    x = 981,596,902.43/47,156.77
  6. Step 6: Final answer
    x = 20,815.61

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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.