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Finding the Fourth Proportional to 221,100.96, 331,569.84 and 78,908.19

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Solution

The fourth proportional to 221,100.96, 331,569.84 and 78,908.19 is: 118,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,100.96 : 331,569.84 = 78,908.19 : x
  2. Step 2: Convert to fraction form
    221,100.96/331,569.84 = 78,908.19/x
  3. Step 3: Cross multiply
    221,100.96x = 331,569.84 × 78,908.19
  4. Step 4: Simplify right side
    221,100.96x = 26,163,575,932.99
  5. Step 5: Solve for x
    x = 26,163,575,932.99/221,100.96
  6. Step 6: Final answer
    x = 118,333.16

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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.