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Finding the Fourth Proportional to 256,745.04, 354,320.52 and 142,023.12

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Solution

The fourth proportional to 256,745.04, 354,320.52 and 142,023.12 is: 195,998.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,745.04 : 354,320.52 = 142,023.12 : x
  2. Step 2: Convert to fraction form
    256,745.04/354,320.52 = 142,023.12/x
  3. Step 3: Cross multiply
    256,745.04x = 354,320.52 × 142,023.12
  4. Step 4: Simplify right side
    256,745.04x = 50,321,705,730.42
  5. Step 5: Solve for x
    x = 50,321,705,730.42/256,745.04
  6. Step 6: Final answer
    x = 195,998.75

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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.