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Finding the Fourth Proportional to 140,781, 194,277.78 and 77,119.06

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Solution

The fourth proportional to 140,781, 194,277.78 and 77,119.06 is: 106,424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,781 : 194,277.78 = 77,119.06 : x
  2. Step 2: Convert to fraction form
    140,781/194,277.78 = 77,119.06/x
  3. Step 3: Cross multiply
    140,781x = 194,277.78 × 77,119.06
  4. Step 4: Simplify right side
    140,781x = 14,982,519,772.49
  5. Step 5: Solve for x
    x = 14,982,519,772.49/140,781
  6. Step 6: Final answer
    x = 106,424.30

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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.