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Finding the Fourth Proportional to 255,958.40, 353,233.52 and 142,781.16

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Solution

The fourth proportional to 255,958.40, 353,233.52 and 142,781.16 is: 197,044.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,958.40 : 353,233.52 = 142,781.16 : x
  2. Step 2: Convert to fraction form
    255,958.40/353,233.52 = 142,781.16/x
  3. Step 3: Cross multiply
    255,958.40x = 353,233.52 × 142,781.16
  4. Step 4: Simplify right side
    255,958.40x = 50,435,091,736.48
  5. Step 5: Solve for x
    x = 50,435,091,736.48/255,958.40
  6. Step 6: Final answer
    x = 197,044.10

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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.