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Finding the Fourth Proportional to 256,870.62, 354,476.16 and 142,149.24

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Solution

The fourth proportional to 256,870.62, 354,476.16 and 142,149.24 is: 196,163.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,870.62 : 354,476.16 = 142,149.24 : x
  2. Step 2: Convert to fraction form
    256,870.62/354,476.16 = 142,149.24/x
  3. Step 3: Cross multiply
    256,870.62x = 354,476.16 × 142,149.24
  4. Step 4: Simplify right side
    256,870.62x = 50,388,516,742.12
  5. Step 5: Solve for x
    x = 50,388,516,742.12/256,870.62
  6. Step 6: Final answer
    x = 196,163.02

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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.