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Finding the Fourth Proportional to 231,393, 319,322.34 and 125,409

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Solution

The fourth proportional to 231,393, 319,322.34 and 125,409 is: 173,064.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,393 : 319,322.34 = 125,409 : x
  2. Step 2: Convert to fraction form
    231,393/319,322.34 = 125,409/x
  3. Step 3: Cross multiply
    231,393x = 319,322.34 × 125,409
  4. Step 4: Simplify right side
    231,393x = 40,045,895,337.06
  5. Step 5: Solve for x
    x = 40,045,895,337.06/231,393
  6. Step 6: Final answer
    x = 173,064.42

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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.