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Finding the Fourth Proportional to 142,564.34, 213,841.74 and 67,738.16

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Solution

The fourth proportional to 142,564.34, 213,841.74 and 67,738.16 is: 101,604.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,564.34 : 213,841.74 = 67,738.16 : x
  2. Step 2: Convert to fraction form
    142,564.34/213,841.74 = 67,738.16/x
  3. Step 3: Cross multiply
    142,564.34x = 213,841.74 × 67,738.16
  4. Step 4: Simplify right side
    142,564.34x = 14,485,245,998.80
  5. Step 5: Solve for x
    x = 14,485,245,998.80/142,564.34
  6. Step 6: Final answer
    x = 101,604.97

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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.