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Finding the Fourth Proportional to 81,489, 112,461.30 and 47,961.48

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Solution

The fourth proportional to 81,489, 112,461.30 and 47,961.48 is: 66,190.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,489 : 112,461.30 = 47,961.48 : x
  2. Step 2: Convert to fraction form
    81,489/112,461.30 = 47,961.48/x
  3. Step 3: Cross multiply
    81,489x = 112,461.30 × 47,961.48
  4. Step 4: Simplify right side
    81,489x = 5,393,810,390.72
  5. Step 5: Solve for x
    x = 5,393,810,390.72/81,489
  6. Step 6: Final answer
    x = 66,190.66

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1.5x scale

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.