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Finding the Fourth Proportional to 69,762.86, 104,644.28 and 20,514.86

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Solution

The fourth proportional to 69,762.86, 104,644.28 and 20,514.86 is: 30,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,762.86 : 104,644.28 = 20,514.86 : x
  2. Step 2: Convert to fraction form
    69,762.86/104,644.28 = 20,514.86/x
  3. Step 3: Cross multiply
    69,762.86x = 104,644.28 × 20,514.86
  4. Step 4: Simplify right side
    69,762.86x = 2,146,762,128.21
  5. Step 5: Solve for x
    x = 2,146,762,128.21/69,762.86
  6. Step 6: Final answer
    x = 30,772.28

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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.