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Finding the Fourth Proportional to 255,906.93, 353,151.60 and 142,729.68

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Solution

The fourth proportional to 255,906.93, 353,151.60 and 142,729.68 is: 196,966.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,906.93 : 353,151.60 = 142,729.68 : x
  2. Step 2: Convert to fraction form
    255,906.93/353,151.60 = 142,729.68/x
  3. Step 3: Cross multiply
    255,906.93x = 353,151.60 × 142,729.68
  4. Step 4: Simplify right side
    255,906.93x = 50,405,214,859.49
  5. Step 5: Solve for x
    x = 50,405,214,859.49/255,906.93
  6. Step 6: Final answer
    x = 196,966.98

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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.