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Finding the Fourth Proportional to 160,380, 221,069.40 and 126,334.62

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Solution

The fourth proportional to 160,380, 221,069.40 and 126,334.62 is: 174,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,380 : 221,069.40 = 126,334.62 : x
  2. Step 2: Convert to fraction form
    160,380/221,069.40 = 126,334.62/x
  3. Step 3: Cross multiply
    160,380x = 221,069.40 × 126,334.62
  4. Step 4: Simplify right side
    160,380x = 27,928,718,642.63
  5. Step 5: Solve for x
    x = 27,928,718,642.63/160,380
  6. Step 6: Final answer
    x = 174,140.91

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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.