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Finding the Fourth Proportional to 143,171.58, 197,579.16 and 78,646.78

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Solution

The fourth proportional to 143,171.58, 197,579.16 and 78,646.78 is: 108,533.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,171.58 : 197,579.16 = 78,646.78 : x
  2. Step 2: Convert to fraction form
    143,171.58/197,579.16 = 78,646.78/x
  3. Step 3: Cross multiply
    143,171.58x = 197,579.16 × 78,646.78
  4. Step 4: Simplify right side
    143,171.58x = 15,538,964,729.10
  5. Step 5: Solve for x
    x = 15,538,964,729.10/143,171.58
  6. Step 6: Final answer
    x = 108,533.86

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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.