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Finding the Fourth Proportional to 231,580, 319,580.40 and 125,596

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Solution

The fourth proportional to 231,580, 319,580.40 and 125,596 is: 173,322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,580 : 319,580.40 = 125,596 : x
  2. Step 2: Convert to fraction form
    231,580/319,580.40 = 125,596/x
  3. Step 3: Cross multiply
    231,580x = 319,580.40 × 125,596
  4. Step 4: Simplify right side
    231,580x = 40,138,019,918.40
  5. Step 5: Solve for x
    x = 40,138,019,918.40/231,580
  6. Step 6: Final answer
    x = 173,322.48

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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.