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Finding the Fourth Proportional to 47,965.86, 71,981.64 and 16,801.20

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Solution

The fourth proportional to 47,965.86, 71,981.64 and 16,801.20 is: 25,213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,965.86 : 71,981.64 = 16,801.20 : x
  2. Step 2: Convert to fraction form
    47,965.86/71,981.64 = 16,801.20/x
  3. Step 3: Cross multiply
    47,965.86x = 71,981.64 × 16,801.20
  4. Step 4: Simplify right side
    47,965.86x = 1,209,377,929.97
  5. Step 5: Solve for x
    x = 1,209,377,929.97/47,965.86
  6. Step 6: Final answer
    x = 25,213.31

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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.