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Finding the Fourth Proportional to 256,082.42, 353,394.03 and 142,905.14

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Solution

The fourth proportional to 256,082.42, 353,394.03 and 142,905.14 is: 197,209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,082.42 : 353,394.03 = 142,905.14 : x
  2. Step 2: Convert to fraction form
    256,082.42/353,394.03 = 142,905.14/x
  3. Step 3: Cross multiply
    256,082.42x = 353,394.03 × 142,905.14
  4. Step 4: Simplify right side
    256,082.42x = 50,501,823,332.31
  5. Step 5: Solve for x
    x = 50,501,823,332.31/256,082.42
  6. Step 6: Final answer
    x = 197,209.26

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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.