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Finding the Fourth Proportional to 120,787.84, 181,099.14 and 61,508.80

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Solution

The fourth proportional to 120,787.84, 181,099.14 and 61,508.80 is: 92,221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,787.84 : 181,099.14 = 61,508.80 : x
  2. Step 2: Convert to fraction form
    120,787.84/181,099.14 = 61,508.80/x
  3. Step 3: Cross multiply
    120,787.84x = 181,099.14 × 61,508.80
  4. Step 4: Simplify right side
    120,787.84x = 11,139,190,782.43
  5. Step 5: Solve for x
    x = 11,139,190,782.43/120,787.84
  6. Step 6: Final answer
    x = 92,221.13

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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.