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Finding the Fourth Proportional to 120,693.88, 180,982.30 and 70,790.28

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Solution

The fourth proportional to 120,693.88, 180,982.30 and 70,790.28 is: 106,151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,693.88 : 180,982.30 = 70,790.28 : x
  2. Step 2: Convert to fraction form
    120,693.88/180,982.30 = 70,790.28/x
  3. Step 3: Cross multiply
    120,693.88x = 180,982.30 × 70,790.28
  4. Step 4: Simplify right side
    120,693.88x = 12,811,787,692.04
  5. Step 5: Solve for x
    x = 12,811,787,692.04/120,693.88
  6. Step 6: Final answer
    x = 106,151.10

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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.