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Finding the Fourth Proportional to 223,792.41, 308,837.46 and 121,820.80

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Solution

The fourth proportional to 223,792.41, 308,837.46 and 121,820.80 is: 168,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,792.41 : 308,837.46 = 121,820.80 : x
  2. Step 2: Convert to fraction form
    223,792.41/308,837.46 = 121,820.80/x
  3. Step 3: Cross multiply
    223,792.41x = 308,837.46 × 121,820.80
  4. Step 4: Simplify right side
    223,792.41x = 37,622,826,096.51
  5. Step 5: Solve for x
    x = 37,622,826,096.51/223,792.41
  6. Step 6: Final answer
    x = 168,114.85

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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.