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Finding the Fourth Proportional to 75,280.50, 112,928.31 and 19,876.50

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Solution

The fourth proportional to 75,280.50, 112,928.31 and 19,876.50 is: 29,816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,280.50 : 112,928.31 = 19,876.50 : x
  2. Step 2: Convert to fraction form
    75,280.50/112,928.31 = 19,876.50/x
  3. Step 3: Cross multiply
    75,280.50x = 112,928.31 × 19,876.50
  4. Step 4: Simplify right side
    75,280.50x = 2,244,619,553.72
  5. Step 5: Solve for x
    x = 2,244,619,553.72/75,280.50
  6. Step 6: Final answer
    x = 29,816.75

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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.