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Finding the Fourth Proportional to 120,821.90, 181,014.15 and 103,325.90

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Solution

The fourth proportional to 120,821.90, 181,014.15 and 103,325.90 is: 154,801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,821.90 : 181,014.15 = 103,325.90 : x
  2. Step 2: Convert to fraction form
    120,821.90/181,014.15 = 103,325.90/x
  3. Step 3: Cross multiply
    120,821.90x = 181,014.15 × 103,325.90
  4. Step 4: Simplify right side
    120,821.90x = 18,703,449,961.49
  5. Step 5: Solve for x
    x = 18,703,449,961.49/120,821.90
  6. Step 6: Final answer
    x = 154,801.82

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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.