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Finding the Fourth Proportional to 221,426, 305,706.12 and 142,076.24

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Solution

The fourth proportional to 221,426, 305,706.12 and 142,076.24 is: 196,153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,426 : 305,706.12 = 142,076.24 : x
  2. Step 2: Convert to fraction form
    221,426/305,706.12 = 142,076.24/x
  3. Step 3: Cross multiply
    221,426x = 305,706.12 × 142,076.24
  4. Step 4: Simplify right side
    221,426x = 43,433,576,074.59
  5. Step 5: Solve for x
    x = 43,433,576,074.59/221,426
  6. Step 6: Final answer
    x = 196,153.91

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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.