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Finding the Fourth Proportional to 254,819.36, 351,662.64 and 141,644

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Solution

The fourth proportional to 254,819.36, 351,662.64 and 141,644 is: 195,475.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,819.36 : 351,662.64 = 141,644 : x
  2. Step 2: Convert to fraction form
    254,819.36/351,662.64 = 141,644/x
  3. Step 3: Cross multiply
    254,819.36x = 351,662.64 × 141,644
  4. Step 4: Simplify right side
    254,819.36x = 49,810,902,980.16
  5. Step 5: Solve for x
    x = 49,810,902,980.16/254,819.36
  6. Step 6: Final answer
    x = 195,475.35

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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.