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Finding the Fourth Proportional to 142,993.44, 197,336.22 and 86,393.88

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Solution

The fourth proportional to 142,993.44, 197,336.22 and 86,393.88 is: 119,226.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,993.44 : 197,336.22 = 86,393.88 : x
  2. Step 2: Convert to fraction form
    142,993.44/197,336.22 = 86,393.88/x
  3. Step 3: Cross multiply
    142,993.44x = 197,336.22 × 86,393.88
  4. Step 4: Simplify right side
    142,993.44x = 17,048,641,710.33
  5. Step 5: Solve for x
    x = 17,048,641,710.33/142,993.44
  6. Step 6: Final answer
    x = 119,226.74

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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.