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Finding the Fourth Proportional to 43,129.80, 64,673.10 and 19,729.80

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Solution

The fourth proportional to 43,129.80, 64,673.10 and 19,729.80 is: 29,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,129.80 : 64,673.10 = 19,729.80 : x
  2. Step 2: Convert to fraction form
    43,129.80/64,673.10 = 19,729.80/x
  3. Step 3: Cross multiply
    43,129.80x = 64,673.10 × 19,729.80
  4. Step 4: Simplify right side
    43,129.80x = 1,275,987,328.38
  5. Step 5: Solve for x
    x = 1,275,987,328.38/43,129.80
  6. Step 6: Final answer
    x = 29,584.82

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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.