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Finding the Fourth Proportional to 120,077.30, 179,968.30 and 67,376.07

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Solution

The fourth proportional to 120,077.30, 179,968.30 and 67,376.07 is: 100,981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,077.30 : 179,968.30 = 67,376.07 : x
  2. Step 2: Convert to fraction form
    120,077.30/179,968.30 = 67,376.07/x
  3. Step 3: Cross multiply
    120,077.30x = 179,968.30 × 67,376.07
  4. Step 4: Simplify right side
    120,077.30x = 12,125,556,610.14
  5. Step 5: Solve for x
    x = 12,125,556,610.14/120,077.30
  6. Step 6: Final answer
    x = 100,981.25

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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.