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Finding the Fourth Proportional to 245,663.78, 339,013.82 and 138,231.66

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Solution

The fourth proportional to 245,663.78, 339,013.82 and 138,231.66 is: 190,758.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,663.78 : 339,013.82 = 138,231.66 : x
  2. Step 2: Convert to fraction form
    245,663.78/339,013.82 = 138,231.66/x
  3. Step 3: Cross multiply
    245,663.78x = 339,013.82 × 138,231.66
  4. Step 4: Simplify right side
    245,663.78x = 46,862,443,101.54
  5. Step 5: Solve for x
    x = 46,862,443,101.54/245,663.78
  6. Step 6: Final answer
    x = 190,758.45

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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.