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Finding the Fourth Proportional to 247,942, 371,971.32 and 81,730

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Solution

The fourth proportional to 247,942, 371,971.32 and 81,730 is: 122,614.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,942 : 371,971.32 = 81,730 : x
  2. Step 2: Convert to fraction form
    247,942/371,971.32 = 81,730/x
  3. Step 3: Cross multiply
    247,942x = 371,971.32 × 81,730
  4. Step 4: Simplify right side
    247,942x = 30,401,215,983.60
  5. Step 5: Solve for x
    x = 30,401,215,983.60/247,942
  6. Step 6: Final answer
    x = 122,614.22

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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.