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Finding the Fourth Proportional to 192,077.53, 287,419.05 and 138,876.05

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Solution

The fourth proportional to 192,077.53, 287,419.05 and 138,876.05 is: 207,809.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,077.53 : 287,419.05 = 138,876.05 : x
  2. Step 2: Convert to fraction form
    192,077.53/287,419.05 = 138,876.05/x
  3. Step 3: Cross multiply
    192,077.53x = 287,419.05 × 138,876.05
  4. Step 4: Simplify right side
    192,077.53x = 39,915,623,077.30
  5. Step 5: Solve for x
    x = 39,915,623,077.30/192,077.53
  6. Step 6: Final answer
    x = 207,809.96

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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.