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Finding the Fourth Proportional to 261,899.64, 392,912.34 and 84,423.48

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Solution

The fourth proportional to 261,899.64, 392,912.34 and 84,423.48 is: 126,655.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,899.64 : 392,912.34 = 84,423.48 : x
  2. Step 2: Convert to fraction form
    261,899.64/392,912.34 = 84,423.48/x
  3. Step 3: Cross multiply
    261,899.64x = 392,912.34 × 84,423.48
  4. Step 4: Simplify right side
    261,899.64x = 33,171,027,077.74
  5. Step 5: Solve for x
    x = 33,171,027,077.74/261,899.64
  6. Step 6: Final answer
    x = 126,655.49

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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.