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Finding the Fourth Proportional to 142,960.98, 214,336.38 and 68,133.69

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Solution

The fourth proportional to 142,960.98, 214,336.38 and 68,133.69 is: 102,150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,960.98 : 214,336.38 = 68,133.69 : x
  2. Step 2: Convert to fraction form
    142,960.98/214,336.38 = 68,133.69/x
  3. Step 3: Cross multiply
    142,960.98x = 214,336.38 × 68,133.69
  4. Step 4: Simplify right side
    142,960.98x = 14,603,528,470.64
  5. Step 5: Solve for x
    x = 14,603,528,470.64/142,960.98
  6. Step 6: Final answer
    x = 102,150.45

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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.