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Finding the Fourth Proportional to 261,564.75, 392,350.77 and 74,576.25

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Solution

The fourth proportional to 261,564.75, 392,350.77 and 74,576.25 is: 111,865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,564.75 : 392,350.77 = 74,576.25 : x
  2. Step 2: Convert to fraction form
    261,564.75/392,350.77 = 74,576.25/x
  3. Step 3: Cross multiply
    261,564.75x = 392,350.77 × 74,576.25
  4. Step 4: Simplify right side
    261,564.75x = 29,260,049,111.21
  5. Step 5: Solve for x
    x = 29,260,049,111.21/261,564.75
  6. Step 6: Final answer
    x = 111,865.41

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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.