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Finding the Fourth Proportional to 53,813.76, 80,722.80 and 18,756.96

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Solution

The fourth proportional to 53,813.76, 80,722.80 and 18,756.96 is: 28,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,813.76 : 80,722.80 = 18,756.96 : x
  2. Step 2: Convert to fraction form
    53,813.76/80,722.80 = 18,756.96/x
  3. Step 3: Cross multiply
    53,813.76x = 80,722.80 × 18,756.96
  4. Step 4: Simplify right side
    53,813.76x = 1,514,114,330.69
  5. Step 5: Solve for x
    x = 1,514,114,330.69/53,813.76
  6. Step 6: Final answer
    x = 28,136.19

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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.