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Finding the Fourth Proportional to 72,809.78, 109,214.55 and 22,894.22

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Solution

The fourth proportional to 72,809.78, 109,214.55 and 22,894.22 is: 34,341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,809.78 : 109,214.55 = 22,894.22 : x
  2. Step 2: Convert to fraction form
    72,809.78/109,214.55 = 22,894.22/x
  3. Step 3: Cross multiply
    72,809.78x = 109,214.55 × 22,894.22
  4. Step 4: Simplify right side
    72,809.78x = 2,500,381,388.83
  5. Step 5: Solve for x
    x = 2,500,381,388.83/72,809.78
  6. Step 6: Final answer
    x = 34,341.29

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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.