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Finding the Fourth Proportional to 223,640, 308,623.20 and 123,035.84

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Solution

The fourth proportional to 223,640, 308,623.20 and 123,035.84 is: 169,789.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,640 : 308,623.20 = 123,035.84 : x
  2. Step 2: Convert to fraction form
    223,640/308,623.20 = 123,035.84/x
  3. Step 3: Cross multiply
    223,640x = 308,623.20 × 123,035.84
  4. Step 4: Simplify right side
    223,640x = 37,971,714,655.49
  5. Step 5: Solve for x
    x = 37,971,714,655.49/223,640
  6. Step 6: Final answer
    x = 169,789.46

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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.