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Finding the Fourth Proportional to 120,164.52, 180,244.81 and 49,071.54

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Solution

The fourth proportional to 120,164.52, 180,244.81 and 49,071.54 is: 73,606.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,164.52 : 180,244.81 = 49,071.54 : x
  2. Step 2: Convert to fraction form
    120,164.52/180,244.81 = 49,071.54/x
  3. Step 3: Cross multiply
    120,164.52x = 180,244.81 × 49,071.54
  4. Step 4: Simplify right side
    120,164.52x = 8,844,890,403.71
  5. Step 5: Solve for x
    x = 8,844,890,403.71/120,164.52
  6. Step 6: Final answer
    x = 73,606.51

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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.