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Finding the Fourth Proportional to 77,558.87, 107,042.81 and 47,361.70

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Solution

The fourth proportional to 77,558.87, 107,042.81 and 47,361.70 is: 65,366.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,558.87 : 107,042.81 = 47,361.70 : x
  2. Step 2: Convert to fraction form
    77,558.87/107,042.81 = 47,361.70/x
  3. Step 3: Cross multiply
    77,558.87x = 107,042.81 × 47,361.70
  4. Step 4: Simplify right side
    77,558.87x = 5,069,728,682.35
  5. Step 5: Solve for x
    x = 5,069,728,682.35/77,558.87
  6. Step 6: Final answer
    x = 65,366.21

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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.