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Finding the Fourth Proportional to 109,561.05, 164,393.63 and 75,878.90

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Solution

The fourth proportional to 109,561.05, 164,393.63 and 75,878.90 is: 113,854.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,561.05 : 164,393.63 = 75,878.90 : x
  2. Step 2: Convert to fraction form
    109,561.05/164,393.63 = 75,878.90/x
  3. Step 3: Cross multiply
    109,561.05x = 164,393.63 × 75,878.90
  4. Step 4: Simplify right side
    109,561.05x = 12,474,007,843.00
  5. Step 5: Solve for x
    x = 12,474,007,843.00/109,561.05
  6. Step 6: Final answer
    x = 113,854.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.