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Finding the Fourth Proportional to 120,083.31, 179,977.29 and 67,382.07

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Solution

The fourth proportional to 120,083.31, 179,977.29 and 67,382.07 is: 100,990.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,083.31 : 179,977.29 = 67,382.07 : x
  2. Step 2: Convert to fraction form
    120,083.31/179,977.29 = 67,382.07/x
  3. Step 3: Cross multiply
    120,083.31x = 179,977.29 × 67,382.07
  4. Step 4: Simplify right side
    120,083.31x = 12,127,242,353.19
  5. Step 5: Solve for x
    x = 12,127,242,353.19/120,083.31
  6. Step 6: Final answer
    x = 100,990.24

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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.