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Finding the Fourth Proportional to 83,119.50, 114,698.43 and 49,121.52

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Solution

The fourth proportional to 83,119.50, 114,698.43 and 49,121.52 is: 67,783.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,119.50 : 114,698.43 = 49,121.52 : x
  2. Step 2: Convert to fraction form
    83,119.50/114,698.43 = 49,121.52/x
  3. Step 3: Cross multiply
    83,119.50x = 114,698.43 × 49,121.52
  4. Step 4: Simplify right side
    83,119.50x = 5,634,161,223.21
  5. Step 5: Solve for x
    x = 5,634,161,223.21/83,119.50
  6. Step 6: Final answer
    x = 67,783.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.