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Finding the Fourth Proportional to 231,804.72, 319,886.64 and 129,829.32

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Solution

The fourth proportional to 231,804.72, 319,886.64 and 129,829.32 is: 179,162.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,804.72 : 319,886.64 = 129,829.32 : x
  2. Step 2: Convert to fraction form
    231,804.72/319,886.64 = 129,829.32/x
  3. Step 3: Cross multiply
    231,804.72x = 319,886.64 × 129,829.32
  4. Step 4: Simplify right side
    231,804.72x = 41,530,664,948.28
  5. Step 5: Solve for x
    x = 41,530,664,948.28/231,804.72
  6. Step 6: Final answer
    x = 179,162.29

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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.