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Finding the Fourth Proportional to 47,578, 71,367 and 14,746

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Solution

The fourth proportional to 47,578, 71,367 and 14,746 is: 22,119

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,578 : 71,367 = 14,746 : x
  2. Step 2: Convert to fraction form
    47,578/71,367 = 14,746/x
  3. Step 3: Cross multiply
    47,578x = 71,367 × 14,746
  4. Step 4: Simplify right side
    47,578x = 1,052,377,782
  5. Step 5: Solve for x
    x = 1,052,377,782/47,578
  6. Step 6: Final answer
    x = 22,119

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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.