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Finding the Fourth Proportional to 75,282, 112,929.54 and 19,878

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Solution

The fourth proportional to 75,282, 112,929.54 and 19,878 is: 29,818.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,282 : 112,929.54 = 19,878 : x
  2. Step 2: Convert to fraction form
    75,282/112,929.54 = 19,878/x
  3. Step 3: Cross multiply
    75,282x = 112,929.54 × 19,878
  4. Step 4: Simplify right side
    75,282x = 2,244,813,396.12
  5. Step 5: Solve for x
    x = 2,244,813,396.12/75,282
  6. Step 6: Final answer
    x = 29,818.73

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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.