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Finding the Fourth Proportional to 231,362.49, 319,296.52 and 129,397.44

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Solution

The fourth proportional to 231,362.49, 319,296.52 and 129,397.44 is: 178,577.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,362.49 : 319,296.52 = 129,397.44 : x
  2. Step 2: Convert to fraction form
    231,362.49/319,296.52 = 129,397.44/x
  3. Step 3: Cross multiply
    231,362.49x = 319,296.52 × 129,397.44
  4. Step 4: Simplify right side
    231,362.49x = 41,316,151,965.42
  5. Step 5: Solve for x
    x = 41,316,151,965.42/231,362.49
  6. Step 6: Final answer
    x = 178,577.57

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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.