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Finding the Fourth Proportional to 255,903, 353,146.14 and 142,725.84

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Solution

The fourth proportional to 255,903, 353,146.14 and 142,725.84 is: 196,961.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,903 : 353,146.14 = 142,725.84 : x
  2. Step 2: Convert to fraction form
    255,903/353,146.14 = 142,725.84/x
  3. Step 3: Cross multiply
    255,903x = 353,146.14 × 142,725.84
  4. Step 4: Simplify right side
    255,903x = 50,403,079,474.26
  5. Step 5: Solve for x
    x = 50,403,079,474.26/255,903
  6. Step 6: Final answer
    x = 196,961.66

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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.