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Finding the Fourth Proportional to 75,998.69, 113,998.06 and 19,838.64

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Solution

The fourth proportional to 75,998.69, 113,998.06 and 19,838.64 is: 29,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,998.69 : 113,998.06 = 19,838.64 : x
  2. Step 2: Convert to fraction form
    75,998.69/113,998.06 = 19,838.64/x
  3. Step 3: Cross multiply
    75,998.69x = 113,998.06 × 19,838.64
  4. Step 4: Simplify right side
    75,998.69x = 2,261,566,473.04
  5. Step 5: Solve for x
    x = 2,261,566,473.04/75,998.69
  6. Step 6: Final answer
    x = 29,757.97

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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.