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Finding the Fourth Proportional to 120,491.69, 180,746.91 and 31,744.17

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Solution

The fourth proportional to 120,491.69, 180,746.91 and 31,744.17 is: 47,618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,491.69 : 180,746.91 = 31,744.17 : x
  2. Step 2: Convert to fraction form
    120,491.69/180,746.91 = 31,744.17/x
  3. Step 3: Cross multiply
    120,491.69x = 180,746.91 × 31,744.17
  4. Step 4: Simplify right side
    120,491.69x = 5,737,660,638.01
  5. Step 5: Solve for x
    x = 5,737,660,638.01/120,491.69
  6. Step 6: Final answer
    x = 47,618.73

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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.