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Finding the Fourth Proportional to 140,904.83, 194,447.39 and 77,242.48

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Solution

The fourth proportional to 140,904.83, 194,447.39 and 77,242.48 is: 106,593.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,904.83 : 194,447.39 = 77,242.48 : x
  2. Step 2: Convert to fraction form
    140,904.83/194,447.39 = 77,242.48/x
  3. Step 3: Cross multiply
    140,904.83x = 194,447.39 × 77,242.48
  4. Step 4: Simplify right side
    140,904.83x = 15,019,597,760.80
  5. Step 5: Solve for x
    x = 15,019,597,760.80/140,904.83
  6. Step 6: Final answer
    x = 106,593.92

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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.