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Finding the Fourth Proportional to 256,789.30, 354,353.16 and 142,065.22

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Solution

The fourth proportional to 256,789.30, 354,353.16 and 142,065.22 is: 196,041.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,789.30 : 354,353.16 = 142,065.22 : x
  2. Step 2: Convert to fraction form
    256,789.30/354,353.16 = 142,065.22/x
  3. Step 3: Cross multiply
    256,789.30x = 354,353.16 × 142,065.22
  4. Step 4: Simplify right side
    256,789.30x = 50,341,259,633.10
  5. Step 5: Solve for x
    x = 50,341,259,633.10/256,789.30
  6. Step 6: Final answer
    x = 196,041.11

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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.