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Finding the Fourth Proportional to 180,085.73, 269,940.87 and 67,688.51

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Solution

The fourth proportional to 180,085.73, 269,940.87 and 67,688.51 is: 101,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,085.73 : 269,940.87 = 67,688.51 : x
  2. Step 2: Convert to fraction form
    180,085.73/269,940.87 = 67,688.51/x
  3. Step 3: Cross multiply
    180,085.73x = 269,940.87 × 67,688.51
  4. Step 4: Simplify right side
    180,085.73x = 18,271,893,928.70
  5. Step 5: Solve for x
    x = 18,271,893,928.70/180,085.73
  6. Step 6: Final answer
    x = 101,462.20

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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.