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Finding the Fourth Proportional to 77,754.21, 107,202.72 and 50,854.11

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Solution

The fourth proportional to 77,754.21, 107,202.72 and 50,854.11 is: 70,114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,754.21 : 107,202.72 = 50,854.11 : x
  2. Step 2: Convert to fraction form
    77,754.21/107,202.72 = 50,854.11/x
  3. Step 3: Cross multiply
    77,754.21x = 107,202.72 × 50,854.11
  4. Step 4: Simplify right side
    77,754.21x = 5,451,698,915.18
  5. Step 5: Solve for x
    x = 5,451,698,915.18/77,754.21
  6. Step 6: Final answer
    x = 70,114.52

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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.