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Finding the Fourth Proportional to 205,367.94, 283,289.46 and 123,639.30

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Solution

The fourth proportional to 205,367.94, 283,289.46 and 123,639.30 is: 170,551.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,367.94 : 283,289.46 = 123,639.30 : x
  2. Step 2: Convert to fraction form
    205,367.94/283,289.46 = 123,639.30/x
  3. Step 3: Cross multiply
    205,367.94x = 283,289.46 × 123,639.30
  4. Step 4: Simplify right side
    205,367.94x = 35,025,710,531.78
  5. Step 5: Solve for x
    x = 35,025,710,531.78/205,367.94
  6. Step 6: Final answer
    x = 170,551.01

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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.