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Finding the Fourth Proportional to 229,309.72, 344,099.90 and 87,274.58

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Solution

The fourth proportional to 229,309.72, 344,099.90 and 87,274.58 is: 130,963.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,309.72 : 344,099.90 = 87,274.58 : x
  2. Step 2: Convert to fraction form
    229,309.72/344,099.90 = 87,274.58/x
  3. Step 3: Cross multiply
    229,309.72x = 344,099.90 × 87,274.58
  4. Step 4: Simplify right side
    229,309.72x = 30,031,174,250.54
  5. Step 5: Solve for x
    x = 30,031,174,250.54/229,309.72
  6. Step 6: Final answer
    x = 130,963.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.