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Finding the Fourth Proportional to 47,805.52, 71,707.70 and 21,491.68

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Solution

The fourth proportional to 47,805.52, 71,707.70 and 21,491.68 is: 32,237.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,805.52 : 71,707.70 = 21,491.68 : x
  2. Step 2: Convert to fraction form
    47,805.52/71,707.70 = 21,491.68/x
  3. Step 3: Cross multiply
    47,805.52x = 71,707.70 × 21,491.68
  4. Step 4: Simplify right side
    47,805.52x = 1,541,118,941.94
  5. Step 5: Solve for x
    x = 1,541,118,941.94/47,805.52
  6. Step 6: Final answer
    x = 32,237.26

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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.