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Finding the Fourth Proportional to 83,456, 115,174.40 and 48,128

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Solution

The fourth proportional to 83,456, 115,174.40 and 48,128 is: 66,419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,456 : 115,174.40 = 48,128 : x
  2. Step 2: Convert to fraction form
    83,456/115,174.40 = 48,128/x
  3. Step 3: Cross multiply
    83,456x = 115,174.40 × 48,128
  4. Step 4: Simplify right side
    83,456x = 5,543,113,523.20
  5. Step 5: Solve for x
    x = 5,543,113,523.20/83,456
  6. Step 6: Final answer
    x = 66,419.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.