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Finding the Fourth Proportional to 231,598.96, 319,606.09 and 129,624.01

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Solution

The fourth proportional to 231,598.96, 319,606.09 and 129,624.01 is: 178,880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,598.96 : 319,606.09 = 129,624.01 : x
  2. Step 2: Convert to fraction form
    231,598.96/319,606.09 = 129,624.01/x
  3. Step 3: Cross multiply
    231,598.96x = 319,606.09 × 129,624.01
  4. Step 4: Simplify right side
    231,598.96x = 41,428,621,883.15
  5. Step 5: Solve for x
    x = 41,428,621,883.15/231,598.96
  6. Step 6: Final answer
    x = 178,880.87

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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.