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Finding the Fourth Proportional to 261,564.89, 392,350.97 and 74,576.39

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Solution

The fourth proportional to 261,564.89, 392,350.97 and 74,576.39 is: 111,865.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,564.89 : 392,350.97 = 74,576.39 : x
  2. Step 2: Convert to fraction form
    261,564.89/392,350.97 = 74,576.39/x
  3. Step 3: Cross multiply
    261,564.89x = 392,350.97 × 74,576.39
  4. Step 4: Simplify right side
    261,564.89x = 29,260,117,180.28
  5. Step 5: Solve for x
    x = 29,260,117,180.28/261,564.89
  6. Step 6: Final answer
    x = 111,865.62

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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.