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Finding the Fourth Proportional to 256,089.72, 353,414.22 and 142,909.56

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Solution

The fourth proportional to 256,089.72, 353,414.22 and 142,909.56 is: 197,221.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,089.72 : 353,414.22 = 142,909.56 : x
  2. Step 2: Convert to fraction form
    256,089.72/353,414.22 = 142,909.56/x
  3. Step 3: Cross multiply
    256,089.72x = 353,414.22 × 142,909.56
  4. Step 4: Simplify right side
    256,089.72x = 50,506,270,677.94
  5. Step 5: Solve for x
    x = 50,506,270,677.94/256,089.72
  6. Step 6: Final answer
    x = 197,221.00

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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.