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Finding the Fourth Proportional to 107,998.70, 161,976.45 and 51,838.70

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Solution

The fourth proportional to 107,998.70, 161,976.45 and 51,838.70 is: 77,747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,998.70 : 161,976.45 = 51,838.70 : x
  2. Step 2: Convert to fraction form
    107,998.70/161,976.45 = 51,838.70/x
  3. Step 3: Cross multiply
    107,998.70x = 161,976.45 × 51,838.70
  4. Step 4: Simplify right side
    107,998.70x = 8,396,648,598.62
  5. Step 5: Solve for x
    x = 8,396,648,598.62/107,998.70
  6. Step 6: Final answer
    x = 77,747.68

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1.5x scale

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.