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Finding the Fourth Proportional to 261,761.30, 392,703.46 and 84,261.64

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Solution

The fourth proportional to 261,761.30, 392,703.46 and 84,261.64 is: 126,412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,761.30 : 392,703.46 = 84,261.64 : x
  2. Step 2: Convert to fraction form
    261,761.30/392,703.46 = 84,261.64/x
  3. Step 3: Cross multiply
    261,761.30x = 392,703.46 × 84,261.64
  4. Step 4: Simplify right side
    261,761.30x = 33,089,837,573.27
  5. Step 5: Solve for x
    x = 33,089,837,573.27/261,761.30
  6. Step 6: Final answer
    x = 126,412.26

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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.