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Finding the Fourth Proportional to 254,940.78, 351,826.80 and 140,224.26

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Solution

The fourth proportional to 254,940.78, 351,826.80 and 140,224.26 is: 193,514.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,940.78 : 351,826.80 = 140,224.26 : x
  2. Step 2: Convert to fraction form
    254,940.78/351,826.80 = 140,224.26/x
  3. Step 3: Cross multiply
    254,940.78x = 351,826.80 × 140,224.26
  4. Step 4: Simplify right side
    254,940.78x = 49,334,652,678.17
  5. Step 5: Solve for x
    x = 49,334,652,678.17/254,940.78
  6. Step 6: Final answer
    x = 193,514.17

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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.