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Finding the Fourth Proportional to 47,804.52, 71,706.20 and 21,490.68

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Solution

The fourth proportional to 47,804.52, 71,706.20 and 21,490.68 is: 32,235.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,804.52 : 71,706.20 = 21,490.68 : x
  2. Step 2: Convert to fraction form
    47,804.52/71,706.20 = 21,490.68/x
  3. Step 3: Cross multiply
    47,804.52x = 71,706.20 × 21,490.68
  4. Step 4: Simplify right side
    47,804.52x = 1,541,014,998.22
  5. Step 5: Solve for x
    x = 1,541,014,998.22/47,804.52
  6. Step 6: Final answer
    x = 32,235.76

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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.