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Finding the Fourth Proportional to 139,732.75, 192,879.80 and 83,142.91

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Solution

The fourth proportional to 139,732.75, 192,879.80 and 83,142.91 is: 114,766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,732.75 : 192,879.80 = 83,142.91 : x
  2. Step 2: Convert to fraction form
    139,732.75/192,879.80 = 83,142.91/x
  3. Step 3: Cross multiply
    139,732.75x = 192,879.80 × 83,142.91
  4. Step 4: Simplify right side
    139,732.75x = 16,036,587,852.22
  5. Step 5: Solve for x
    x = 16,036,587,852.22/139,732.75
  6. Step 6: Final answer
    x = 114,766.14

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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.