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Finding the Fourth Proportional to 160,694.90, 221,738.58 and 89,074.34

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Solution

The fourth proportional to 160,694.90, 221,738.58 and 89,074.34 is: 122,911.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,694.90 : 221,738.58 = 89,074.34 : x
  2. Step 2: Convert to fraction form
    160,694.90/221,738.58 = 89,074.34/x
  3. Step 3: Cross multiply
    160,694.90x = 221,738.58 × 89,074.34
  4. Step 4: Simplify right side
    160,694.90x = 19,751,217,666.04
  5. Step 5: Solve for x
    x = 19,751,217,666.04/160,694.90
  6. Step 6: Final answer
    x = 122,911.29

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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.