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Finding the Fourth Proportional to 120,309.87, 180,363.31 and 75,838.58

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Solution

The fourth proportional to 120,309.87, 180,363.31 and 75,838.58 is: 113,693.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,309.87 : 180,363.31 = 75,838.58 : x
  2. Step 2: Convert to fraction form
    120,309.87/180,363.31 = 75,838.58/x
  3. Step 3: Cross multiply
    120,309.87x = 180,363.31 × 75,838.58
  4. Step 4: Simplify right side
    120,309.87x = 13,678,496,899.45
  5. Step 5: Solve for x
    x = 13,678,496,899.45/120,309.87
  6. Step 6: Final answer
    x = 113,693.88

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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.