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Finding the Fourth Proportional to 231,321.16, 319,197.54 and 130,719.16

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Solution

The fourth proportional to 231,321.16, 319,197.54 and 130,719.16 is: 180,377.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,321.16 : 319,197.54 = 130,719.16 : x
  2. Step 2: Convert to fraction form
    231,321.16/319,197.54 = 130,719.16/x
  3. Step 3: Cross multiply
    231,321.16x = 319,197.54 × 130,719.16
  4. Step 4: Simplify right side
    231,321.16x = 41,725,234,302.87
  5. Step 5: Solve for x
    x = 41,725,234,302.87/231,321.16
  6. Step 6: Final answer
    x = 180,377.94

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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.