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Finding the Fourth Proportional to 231,864.78, 319,980.48 and 129,889.98

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Solution

The fourth proportional to 231,864.78, 319,980.48 and 129,889.98 is: 179,252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,864.78 : 319,980.48 = 129,889.98 : x
  2. Step 2: Convert to fraction form
    231,864.78/319,980.48 = 129,889.98/x
  3. Step 3: Cross multiply
    231,864.78x = 319,980.48 × 129,889.98
  4. Step 4: Simplify right side
    231,864.78x = 41,562,258,147.59
  5. Step 5: Solve for x
    x = 41,562,258,147.59/231,864.78
  6. Step 6: Final answer
    x = 179,252.14

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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.