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Finding the Fourth Proportional to 180,324.64, 270,511.56 and 75,119

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Solution

The fourth proportional to 180,324.64, 270,511.56 and 75,119 is: 112,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,324.64 : 270,511.56 = 75,119 : x
  2. Step 2: Convert to fraction form
    180,324.64/270,511.56 = 75,119/x
  3. Step 3: Cross multiply
    180,324.64x = 270,511.56 × 75,119
  4. Step 4: Simplify right side
    180,324.64x = 20,320,557,875.64
  5. Step 5: Solve for x
    x = 20,320,557,875.64/180,324.64
  6. Step 6: Final answer
    x = 112,688.75

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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.