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Finding the Fourth Proportional to 202,920, 304,380.96 and 71,592

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Solution

The fourth proportional to 202,920, 304,380.96 and 71,592 is: 107,388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,920 : 304,380.96 = 71,592 : x
  2. Step 2: Convert to fraction form
    202,920/304,380.96 = 71,592/x
  3. Step 3: Cross multiply
    202,920x = 304,380.96 × 71,592
  4. Step 4: Simplify right side
    202,920x = 21,791,241,688.32
  5. Step 5: Solve for x
    x = 21,791,241,688.32/202,920
  6. Step 6: Final answer
    x = 107,388.34

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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.