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Finding the Fourth Proportional to 77,991.64, 107,715.90 and 52,797.40

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Solution

The fourth proportional to 77,991.64, 107,715.90 and 52,797.40 is: 72,919.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,991.64 : 107,715.90 = 52,797.40 : x
  2. Step 2: Convert to fraction form
    77,991.64/107,715.90 = 52,797.40/x
  3. Step 3: Cross multiply
    77,991.64x = 107,715.90 × 52,797.40
  4. Step 4: Simplify right side
    77,991.64x = 5,687,119,458.66
  5. Step 5: Solve for x
    x = 5,687,119,458.66/77,991.64
  6. Step 6: Final answer
    x = 72,919.60

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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.