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Finding the Fourth Proportional to 67,164.36, 100,711.86 and 19,773.31

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Solution

The fourth proportional to 67,164.36, 100,711.86 and 19,773.31 is: 29,649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,164.36 : 100,711.86 = 19,773.31 : x
  2. Step 2: Convert to fraction form
    67,164.36/100,711.86 = 19,773.31/x
  3. Step 3: Cross multiply
    67,164.36x = 100,711.86 × 19,773.31
  4. Step 4: Simplify right side
    67,164.36x = 1,991,406,828.46
  5. Step 5: Solve for x
    x = 1,991,406,828.46/67,164.36
  6. Step 6: Final answer
    x = 29,649.76

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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.