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Finding the Fourth Proportional to 251,419.43, 377,120.69 and 109,264.70

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Solution

The fourth proportional to 251,419.43, 377,120.69 and 109,264.70 is: 163,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,419.43 : 377,120.69 = 109,264.70 : x
  2. Step 2: Convert to fraction form
    251,419.43/377,120.69 = 109,264.70/x
  3. Step 3: Cross multiply
    251,419.43x = 377,120.69 × 109,264.70
  4. Step 4: Simplify right side
    251,419.43x = 41,205,979,056.64
  5. Step 5: Solve for x
    x = 41,205,979,056.64/251,419.43
  6. Step 6: Final answer
    x = 163,893.38

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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.