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Finding the Fourth Proportional to 77,144.76, 106,456.86 and 43,611.48

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Solution

The fourth proportional to 77,144.76, 106,456.86 and 43,611.48 is: 60,182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,144.76 : 106,456.86 = 43,611.48 : x
  2. Step 2: Convert to fraction form
    77,144.76/106,456.86 = 43,611.48/x
  3. Step 3: Cross multiply
    77,144.76x = 106,456.86 × 43,611.48
  4. Step 4: Simplify right side
    77,144.76x = 4,642,741,220.75
  5. Step 5: Solve for x
    x = 4,642,741,220.75/77,144.76
  6. Step 6: Final answer
    x = 60,182.20

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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.