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Finding the Fourth Proportional to 256,103.36, 353,442.66 and 142,943.12

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Solution

The fourth proportional to 256,103.36, 353,442.66 and 142,943.12 is: 197,272.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,103.36 : 353,442.66 = 142,943.12 : x
  2. Step 2: Convert to fraction form
    256,103.36/353,442.66 = 142,943.12/x
  3. Step 3: Cross multiply
    256,103.36x = 353,442.66 × 142,943.12
  4. Step 4: Simplify right side
    256,103.36x = 50,522,196,561.50
  5. Step 5: Solve for x
    x = 50,522,196,561.50/256,103.36
  6. Step 6: Final answer
    x = 197,272.68

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1.5x scale

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.