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Finding the Fourth Proportional to 47,871, 71,820.17 and 16,287.99

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Solution

The fourth proportional to 47,871, 71,820.17 and 16,287.99 is: 24,436.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,871 : 71,820.17 = 16,287.99 : x
  2. Step 2: Convert to fraction form
    47,871/71,820.17 = 16,287.99/x
  3. Step 3: Cross multiply
    47,871x = 71,820.17 × 16,287.99
  4. Step 4: Simplify right side
    47,871x = 1,169,805,921.07
  5. Step 5: Solve for x
    x = 1,169,805,921.07/47,871
  6. Step 6: Final answer
    x = 24,436.63

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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.