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Finding the Fourth Proportional to 79,982, 119,975.16 and 24,578

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Solution

The fourth proportional to 79,982, 119,975.16 and 24,578 is: 36,867.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,982 : 119,975.16 = 24,578 : x
  2. Step 2: Convert to fraction form
    79,982/119,975.16 = 24,578/x
  3. Step 3: Cross multiply
    79,982x = 119,975.16 × 24,578
  4. Step 4: Simplify right side
    79,982x = 2,948,749,482.48
  5. Step 5: Solve for x
    x = 2,948,749,482.48/79,982
  6. Step 6: Final answer
    x = 36,867.66

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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.