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Finding the Fourth Proportional to 192,063.72, 287,862.30 and 135,920.34

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Solution

The fourth proportional to 192,063.72, 287,862.30 and 135,920.34 is: 203,715.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,063.72 : 287,862.30 = 135,920.34 : x
  2. Step 2: Convert to fraction form
    192,063.72/287,862.30 = 135,920.34/x
  3. Step 3: Cross multiply
    192,063.72x = 287,862.30 × 135,920.34
  4. Step 4: Simplify right side
    192,063.72x = 39,126,341,689.18
  5. Step 5: Solve for x
    x = 39,126,341,689.18/192,063.72
  6. Step 6: Final answer
    x = 203,715.42

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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.