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Finding the Fourth Proportional to 75,280, 112,927.56 and 19,876

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Solution

The fourth proportional to 75,280, 112,927.56 and 19,876 is: 29,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,280 : 112,927.56 = 19,876 : x
  2. Step 2: Convert to fraction form
    75,280/112,927.56 = 19,876/x
  3. Step 3: Cross multiply
    75,280x = 112,927.56 × 19,876
  4. Step 4: Simplify right side
    75,280x = 2,244,548,182.56
  5. Step 5: Solve for x
    x = 2,244,548,182.56/75,280
  6. Step 6: Final answer
    x = 29,816.00

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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.