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Finding the Fourth Proportional to 128,945.82, 193,167.12 and 84,437.64

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Solution

The fourth proportional to 128,945.82, 193,167.12 and 84,437.64 is: 126,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,945.82 : 193,167.12 = 84,437.64 : x
  2. Step 2: Convert to fraction form
    128,945.82/193,167.12 = 84,437.64/x
  3. Step 3: Cross multiply
    128,945.82x = 193,167.12 × 84,437.64
  4. Step 4: Simplify right side
    128,945.82x = 16,310,574,544.55
  5. Step 5: Solve for x
    x = 16,310,574,544.55/128,945.82
  6. Step 6: Final answer
    x = 126,491.69

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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.