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Finding the Fourth Proportional to 223,982.05, 309,095.22 and 123,380.05

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Solution

The fourth proportional to 223,982.05, 309,095.22 and 123,380.05 is: 170,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,982.05 : 309,095.22 = 123,380.05 : x
  2. Step 2: Convert to fraction form
    223,982.05/309,095.22 = 123,380.05/x
  3. Step 3: Cross multiply
    223,982.05x = 309,095.22 × 123,380.05
  4. Step 4: Simplify right side
    223,982.05x = 38,136,183,698.36
  5. Step 5: Solve for x
    x = 38,136,183,698.36/223,982.05
  6. Step 6: Final answer
    x = 170,264.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.