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Finding the Fourth Proportional to 77,682.60, 107,188.74 and 43,682.28

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Solution

The fourth proportional to 77,682.60, 107,188.74 and 43,682.28 is: 60,274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,682.60 : 107,188.74 = 43,682.28 : x
  2. Step 2: Convert to fraction form
    77,682.60/107,188.74 = 43,682.28/x
  3. Step 3: Cross multiply
    77,682.60x = 107,188.74 × 43,682.28
  4. Step 4: Simplify right side
    77,682.60x = 4,682,248,553.53
  5. Step 5: Solve for x
    x = 4,682,248,553.53/77,682.60
  6. Step 6: Final answer
    x = 60,274.10

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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.