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Finding the Fourth Proportional to 120,601.77, 180,911.29 and 31,854.39

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Solution

The fourth proportional to 120,601.77, 180,911.29 and 31,854.39 is: 47,783.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,601.77 : 180,911.29 = 31,854.39 : x
  2. Step 2: Convert to fraction form
    120,601.77/180,911.29 = 31,854.39/x
  3. Step 3: Cross multiply
    120,601.77x = 180,911.29 × 31,854.39
  4. Step 4: Simplify right side
    120,601.77x = 5,762,818,787.06
  5. Step 5: Solve for x
    x = 5,762,818,787.06/120,601.77
  6. Step 6: Final answer
    x = 47,783.87

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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.