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Finding the Fourth Proportional to 256,095.90, 353,445.76 and 142,942.14

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Solution

The fourth proportional to 256,095.90, 353,445.76 and 142,942.14 is: 197,278.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,095.90 : 353,445.76 = 142,942.14 : x
  2. Step 2: Convert to fraction form
    256,095.90/353,445.76 = 142,942.14/x
  3. Step 3: Cross multiply
    256,095.90x = 353,445.76 × 142,942.14
  4. Step 4: Simplify right side
    256,095.90x = 50,522,293,308.33
  5. Step 5: Solve for x
    x = 50,522,293,308.33/256,095.90
  6. Step 6: Final answer
    x = 197,278.81

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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.