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Finding the Fourth Proportional to 47,981.40, 71,978.64 and 16,382.92

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Solution

The fourth proportional to 47,981.40, 71,978.64 and 16,382.92 is: 24,576.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,981.40 : 71,978.64 = 16,382.92 : x
  2. Step 2: Convert to fraction form
    47,981.40/71,978.64 = 16,382.92/x
  3. Step 3: Cross multiply
    47,981.40x = 71,978.64 × 16,382.92
  4. Step 4: Simplify right side
    47,981.40x = 1,179,220,300.83
  5. Step 5: Solve for x
    x = 1,179,220,300.83/47,981.40
  6. Step 6: Final answer
    x = 24,576.61

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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.