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Finding the Fourth Proportional to 231,578.88, 319,544.64 and 130,974.72

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Solution

The fourth proportional to 231,578.88, 319,544.64 and 130,974.72 is: 180,725.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,578.88 : 319,544.64 = 130,974.72 : x
  2. Step 2: Convert to fraction form
    231,578.88/319,544.64 = 130,974.72/x
  3. Step 3: Cross multiply
    231,578.88x = 319,544.64 × 130,974.72
  4. Step 4: Simplify right side
    231,578.88x = 41,852,269,751.50
  5. Step 5: Solve for x
    x = 41,852,269,751.50/231,578.88
  6. Step 6: Final answer
    x = 180,725.76

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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.