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Finding the Fourth Proportional to 180,692.43, 249,351.84 and 100,119.69

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Solution

The fourth proportional to 180,692.43, 249,351.84 and 100,119.69 is: 138,163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,692.43 : 249,351.84 = 100,119.69 : x
  2. Step 2: Convert to fraction form
    180,692.43/249,351.84 = 100,119.69/x
  3. Step 3: Cross multiply
    180,692.43x = 249,351.84 × 100,119.69
  4. Step 4: Simplify right side
    180,692.43x = 24,965,028,921.73
  5. Step 5: Solve for x
    x = 24,965,028,921.73/180,692.43
  6. Step 6: Final answer
    x = 138,163.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.