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Finding the Fourth Proportional to 231,182, 319,057.12 and 130,586.48

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Solution

The fourth proportional to 231,182, 319,057.12 and 130,586.48 is: 180,224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,182 : 319,057.12 = 130,586.48 : x
  2. Step 2: Convert to fraction form
    231,182/319,057.12 = 130,586.48/x
  3. Step 3: Cross multiply
    231,182x = 319,057.12 × 130,586.48
  4. Step 4: Simplify right side
    231,182x = 41,664,546,219.74
  5. Step 5: Solve for x
    x = 41,664,546,219.74/231,182
  6. Step 6: Final answer
    x = 180,224.01

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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.