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Finding the Fourth Proportional to 142,208.88, 213,375.60 and 67,382.46

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Solution

The fourth proportional to 142,208.88, 213,375.60 and 67,382.46 is: 101,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,208.88 : 213,375.60 = 67,382.46 : x
  2. Step 2: Convert to fraction form
    142,208.88/213,375.60 = 67,382.46/x
  3. Step 3: Cross multiply
    142,208.88x = 213,375.60 × 67,382.46
  4. Step 4: Simplify right side
    142,208.88x = 14,377,772,831.98
  5. Step 5: Solve for x
    x = 14,377,772,831.98/142,208.88
  6. Step 6: Final answer
    x = 101,103.20

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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.