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Finding the Fourth Proportional to 142,244.63, 196,300.11 and 78,578.63

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Solution

The fourth proportional to 142,244.63, 196,300.11 and 78,578.63 is: 108,439.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,244.63 : 196,300.11 = 78,578.63 : x
  2. Step 2: Convert to fraction form
    142,244.63/196,300.11 = 78,578.63/x
  3. Step 3: Cross multiply
    142,244.63x = 196,300.11 × 78,578.63
  4. Step 4: Simplify right side
    142,244.63x = 15,424,992,338.26
  5. Step 5: Solve for x
    x = 15,424,992,338.26/142,244.63
  6. Step 6: Final answer
    x = 108,439.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.