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Finding the Fourth Proportional to 106,421.80, 159,610.30 and 53,781.80

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Solution

The fourth proportional to 106,421.80, 159,610.30 and 53,781.80 is: 80,661.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,421.80 : 159,610.30 = 53,781.80 : x
  2. Step 2: Convert to fraction form
    106,421.80/159,610.30 = 53,781.80/x
  3. Step 3: Cross multiply
    106,421.80x = 159,610.30 × 53,781.80
  4. Step 4: Simplify right side
    106,421.80x = 8,584,129,232.54
  5. Step 5: Solve for x
    x = 8,584,129,232.54/106,421.80
  6. Step 6: Final answer
    x = 80,661.38

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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.