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Finding the Fourth Proportional to 231,628, 319,646.64 and 125,644

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Solution

The fourth proportional to 231,628, 319,646.64 and 125,644 is: 173,388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,628 : 319,646.64 = 125,644 : x
  2. Step 2: Convert to fraction form
    231,628/319,646.64 = 125,644/x
  3. Step 3: Cross multiply
    231,628x = 319,646.64 × 125,644
  4. Step 4: Simplify right side
    231,628x = 40,161,682,436.16
  5. Step 5: Solve for x
    x = 40,161,682,436.16/231,628
  6. Step 6: Final answer
    x = 173,388.72

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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.