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Finding the Fourth Proportional to 140,904.62, 194,448.02 and 77,242.70

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Solution

The fourth proportional to 140,904.62, 194,448.02 and 77,242.70 is: 106,594.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,904.62 : 194,448.02 = 77,242.70 : x
  2. Step 2: Convert to fraction form
    140,904.62/194,448.02 = 77,242.70/x
  3. Step 3: Cross multiply
    140,904.62x = 194,448.02 × 77,242.70
  4. Step 4: Simplify right side
    140,904.62x = 15,019,690,074.45
  5. Step 5: Solve for x
    x = 15,019,690,074.45/140,904.62
  6. Step 6: Final answer
    x = 106,594.73

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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.