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Finding the Fourth Proportional to 120,804.40, 181,206.60 and 109,723.60

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Solution

The fourth proportional to 120,804.40, 181,206.60 and 109,723.60 is: 164,585.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,804.40 : 181,206.60 = 109,723.60 : x
  2. Step 2: Convert to fraction form
    120,804.40/181,206.60 = 109,723.60/x
  3. Step 3: Cross multiply
    120,804.40x = 181,206.60 × 109,723.60
  4. Step 4: Simplify right side
    120,804.40x = 19,882,640,495.76
  5. Step 5: Solve for x
    x = 19,882,640,495.76/120,804.40
  6. Step 6: Final answer
    x = 164,585.40

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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.