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Finding the Fourth Proportional to 120,872.40, 181,309.80 and 36,632.76

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Solution

The fourth proportional to 120,872.40, 181,309.80 and 36,632.76 is: 54,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,872.40 : 181,309.80 = 36,632.76 : x
  2. Step 2: Convert to fraction form
    120,872.40/181,309.80 = 36,632.76/x
  3. Step 3: Cross multiply
    120,872.40x = 181,309.80 × 36,632.76
  4. Step 4: Simplify right side
    120,872.40x = 6,641,878,389.05
  5. Step 5: Solve for x
    x = 6,641,878,389.05/120,872.40
  6. Step 6: Final answer
    x = 54,949.50

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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.