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Finding the Fourth Proportional to 53,605.99, 80,398.05 and 20,314.59

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Solution

The fourth proportional to 53,605.99, 80,398.05 and 20,314.59 is: 30,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,605.99 : 80,398.05 = 20,314.59 : x
  2. Step 2: Convert to fraction form
    53,605.99/80,398.05 = 20,314.59/x
  3. Step 3: Cross multiply
    53,605.99x = 80,398.05 × 20,314.59
  4. Step 4: Simplify right side
    53,605.99x = 1,633,253,422.55
  5. Step 5: Solve for x
    x = 1,633,253,422.55/53,605.99
  6. Step 6: Final answer
    x = 30,467.74

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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.