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Finding the Fourth Proportional to 223,983, 309,096.54 and 123,381

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Solution

The fourth proportional to 223,983, 309,096.54 and 123,381 is: 170,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,983 : 309,096.54 = 123,381 : x
  2. Step 2: Convert to fraction form
    223,983/309,096.54 = 123,381/x
  3. Step 3: Cross multiply
    223,983x = 309,096.54 × 123,381
  4. Step 4: Simplify right side
    223,983x = 38,136,640,201.74
  5. Step 5: Solve for x
    x = 38,136,640,201.74/223,983
  6. Step 6: Final answer
    x = 170,265.78

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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.