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Finding the Fourth Proportional to 120,051.65, 180,190.47 and 60,929.75

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Solution

The fourth proportional to 120,051.65, 180,190.47 and 60,929.75 is: 91,451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,051.65 : 180,190.47 = 60,929.75 : x
  2. Step 2: Convert to fraction form
    120,051.65/180,190.47 = 60,929.75/x
  3. Step 3: Cross multiply
    120,051.65x = 180,190.47 × 60,929.75
  4. Step 4: Simplify right side
    120,051.65x = 10,978,960,289.48
  5. Step 5: Solve for x
    x = 10,978,960,289.48/120,051.65
  6. Step 6: Final answer
    x = 91,451.97

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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.