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Finding the Fourth Proportional to 142,257.78, 196,319.70 and 78,599.70

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Solution

The fourth proportional to 142,257.78, 196,319.70 and 78,599.70 is: 108,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,257.78 : 196,319.70 = 78,599.70 : x
  2. Step 2: Convert to fraction form
    142,257.78/196,319.70 = 78,599.70/x
  3. Step 3: Cross multiply
    142,257.78x = 196,319.70 × 78,599.70
  4. Step 4: Simplify right side
    142,257.78x = 15,430,669,524.09
  5. Step 5: Solve for x
    x = 15,430,669,524.09/142,257.78
  6. Step 6: Final answer
    x = 108,469.78

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1.5x scale

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.