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Finding the Fourth Proportional to 120,772.80, 181,087.20 and 74,059.20

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Solution

The fourth proportional to 120,772.80, 181,087.20 and 74,059.20 is: 111,044.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,772.80 : 181,087.20 = 74,059.20 : x
  2. Step 2: Convert to fraction form
    120,772.80/181,087.20 = 74,059.20/x
  3. Step 3: Cross multiply
    120,772.80x = 181,087.20 × 74,059.20
  4. Step 4: Simplify right side
    120,772.80x = 13,411,173,162.24
  5. Step 5: Solve for x
    x = 13,411,173,162.24/120,772.80
  6. Step 6: Final answer
    x = 111,044.65

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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.