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Finding the Fourth Proportional to 120,468.74, 180,711.98 and 31,721.63

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Solution

The fourth proportional to 120,468.74, 180,711.98 and 31,721.63 is: 47,584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,468.74 : 180,711.98 = 31,721.63 : x
  2. Step 2: Convert to fraction form
    120,468.74/180,711.98 = 31,721.63/x
  3. Step 3: Cross multiply
    120,468.74x = 180,711.98 × 31,721.63
  4. Step 4: Simplify right side
    120,468.74x = 5,732,477,622.92
  5. Step 5: Solve for x
    x = 5,732,477,622.92/120,468.74
  6. Step 6: Final answer
    x = 47,584.77

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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.