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Finding the Fourth Proportional to 166,647.74, 249,965.98 and 66,781.11

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Solution

The fourth proportional to 166,647.74, 249,965.98 and 66,781.11 is: 100,169.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,647.74 : 249,965.98 = 66,781.11 : x
  2. Step 2: Convert to fraction form
    166,647.74/249,965.98 = 66,781.11/x
  3. Step 3: Cross multiply
    166,647.74x = 249,965.98 × 66,781.11
  4. Step 4: Simplify right side
    166,647.74x = 16,693,005,439.69
  5. Step 5: Solve for x
    x = 16,693,005,439.69/166,647.74
  6. Step 6: Final answer
    x = 100,169.41

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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.