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Finding the Fourth Proportional to 231,465, 319,423.62 and 125,481

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Solution

The fourth proportional to 231,465, 319,423.62 and 125,481 is: 173,164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,465 : 319,423.62 = 125,481 : x
  2. Step 2: Convert to fraction form
    231,465/319,423.62 = 125,481/x
  3. Step 3: Cross multiply
    231,465x = 319,423.62 × 125,481
  4. Step 4: Simplify right side
    231,465x = 40,081,595,261.22
  5. Step 5: Solve for x
    x = 40,081,595,261.22/231,465
  6. Step 6: Final answer
    x = 173,164.82

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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.