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Finding the Fourth Proportional to 52,787.68, 79,173.84 and 19,948

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Solution

The fourth proportional to 52,787.68, 79,173.84 and 19,948 is: 29,919.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,787.68 : 79,173.84 = 19,948 : x
  2. Step 2: Convert to fraction form
    52,787.68/79,173.84 = 19,948/x
  3. Step 3: Cross multiply
    52,787.68x = 79,173.84 × 19,948
  4. Step 4: Simplify right side
    52,787.68x = 1,579,359,760.32
  5. Step 5: Solve for x
    x = 1,579,359,760.32/52,787.68
  6. Step 6: Final answer
    x = 29,919.10

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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.