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Finding the Fourth Proportional to 180,509.40, 270,689.58 and 68,170.50

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Solution

The fourth proportional to 180,509.40, 270,689.58 and 68,170.50 is: 102,227.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,509.40 : 270,689.58 = 68,170.50 : x
  2. Step 2: Convert to fraction form
    180,509.40/270,689.58 = 68,170.50/x
  3. Step 3: Cross multiply
    180,509.40x = 270,689.58 × 68,170.50
  4. Step 4: Simplify right side
    180,509.40x = 18,453,044,013.39
  5. Step 5: Solve for x
    x = 18,453,044,013.39/180,509.40
  6. Step 6: Final answer
    x = 102,227.61

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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.