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Finding the Fourth Proportional to 257,143.08, 354,873.78 and 143,972.04

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Solution

The fourth proportional to 257,143.08, 354,873.78 and 143,972.04 is: 198,690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,143.08 : 354,873.78 = 143,972.04 : x
  2. Step 2: Convert to fraction form
    257,143.08/354,873.78 = 143,972.04/x
  3. Step 3: Cross multiply
    257,143.08x = 354,873.78 × 143,972.04
  4. Step 4: Simplify right side
    257,143.08x = 51,091,902,049.11
  5. Step 5: Solve for x
    x = 51,091,902,049.11/257,143.08
  6. Step 6: Final answer
    x = 198,690.56

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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.