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Finding the Fourth Proportional to 120,724.40, 180,940.80 and 61,529.60

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Solution

The fourth proportional to 120,724.40, 180,940.80 and 61,529.60 is: 92,220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,724.40 : 180,940.80 = 61,529.60 : x
  2. Step 2: Convert to fraction form
    120,724.40/180,940.80 = 61,529.60/x
  3. Step 3: Cross multiply
    120,724.40x = 180,940.80 × 61,529.60
  4. Step 4: Simplify right side
    120,724.40x = 11,133,215,047.68
  5. Step 5: Solve for x
    x = 11,133,215,047.68/120,724.40
  6. Step 6: Final answer
    x = 92,220.09

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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.