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Finding the Fourth Proportional to 120,485.61, 180,737.19 and 31,738.50

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Solution

The fourth proportional to 120,485.61, 180,737.19 and 31,738.50 is: 47,610.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,485.61 : 180,737.19 = 31,738.50 : x
  2. Step 2: Convert to fraction form
    120,485.61/180,737.19 = 31,738.50/x
  3. Step 3: Cross multiply
    120,485.61x = 180,737.19 × 31,738.50
  4. Step 4: Simplify right side
    120,485.61x = 5,736,327,304.82
  5. Step 5: Solve for x
    x = 5,736,327,304.82/120,485.61
  6. Step 6: Final answer
    x = 47,610.06

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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.