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Finding the Fourth Proportional to 53,635.60, 80,395.80 and 20,342.80

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Solution

The fourth proportional to 53,635.60, 80,395.80 and 20,342.80 is: 30,492.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,635.60 : 80,395.80 = 20,342.80 : x
  2. Step 2: Convert to fraction form
    53,635.60/80,395.80 = 20,342.80/x
  3. Step 3: Cross multiply
    53,635.60x = 80,395.80 × 20,342.80
  4. Step 4: Simplify right side
    53,635.60x = 1,635,475,680.24
  5. Step 5: Solve for x
    x = 1,635,475,680.24/53,635.60
  6. Step 6: Final answer
    x = 30,492.35

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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.