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Finding the Fourth Proportional to 120,800.40, 181,200.60 and 109,719.60

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Solution

The fourth proportional to 120,800.40, 181,200.60 and 109,719.60 is: 164,579.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,800.40 : 181,200.60 = 109,719.60 : x
  2. Step 2: Convert to fraction form
    120,800.40/181,200.60 = 109,719.60/x
  3. Step 3: Cross multiply
    120,800.40x = 181,200.60 × 109,719.60
  4. Step 4: Simplify right side
    120,800.40x = 19,881,257,351.76
  5. Step 5: Solve for x
    x = 19,881,257,351.76/120,800.40
  6. Step 6: Final answer
    x = 164,579.40

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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.