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Finding the Fourth Proportional to 140,357.61, 193,739.65 and 111,729.78

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Solution

The fourth proportional to 140,357.61, 193,739.65 and 111,729.78 is: 154,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,357.61 : 193,739.65 = 111,729.78 : x
  2. Step 2: Convert to fraction form
    140,357.61/193,739.65 = 111,729.78/x
  3. Step 3: Cross multiply
    140,357.61x = 193,739.65 × 111,729.78
  4. Step 4: Simplify right side
    140,357.61x = 21,646,488,192.45
  5. Step 5: Solve for x
    x = 21,646,488,192.45/140,357.61
  6. Step 6: Final answer
    x = 154,223.83

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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.