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Finding the Fourth Proportional to 53,909.80, 80,843.10 and 18,831.40

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Solution

The fourth proportional to 53,909.80, 80,843.10 and 18,831.40 is: 28,239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,909.80 : 80,843.10 = 18,831.40 : x
  2. Step 2: Convert to fraction form
    53,909.80/80,843.10 = 18,831.40/x
  3. Step 3: Cross multiply
    53,909.80x = 80,843.10 × 18,831.40
  4. Step 4: Simplify right side
    53,909.80x = 1,522,388,753.34
  5. Step 5: Solve for x
    x = 1,522,388,753.34/53,909.80
  6. Step 6: Final answer
    x = 28,239.55

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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.