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Finding the Fourth Proportional to 197,171.31, 295,867.69 and 78,851.88

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Solution

The fourth proportional to 197,171.31, 295,867.69 and 78,851.88 is: 118,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,171.31 : 295,867.69 = 78,851.88 : x
  2. Step 2: Convert to fraction form
    197,171.31/295,867.69 = 78,851.88/x
  3. Step 3: Cross multiply
    197,171.31x = 295,867.69 × 78,851.88
  4. Step 4: Simplify right side
    197,171.31x = 23,329,723,390.63
  5. Step 5: Solve for x
    x = 23,329,723,390.63/197,171.31
  6. Step 6: Final answer
    x = 118,322.10

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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.