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Finding the Fourth Proportional to 160,728.89, 221,811.12 and 89,115.57

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Solution

The fourth proportional to 160,728.89, 221,811.12 and 89,115.57 is: 122,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,728.89 : 221,811.12 = 89,115.57 : x
  2. Step 2: Convert to fraction form
    160,728.89/221,811.12 = 89,115.57/x
  3. Step 3: Cross multiply
    160,728.89x = 221,811.12 × 89,115.57
  4. Step 4: Simplify right side
    160,728.89x = 19,766,824,391.14
  5. Step 5: Solve for x
    x = 19,766,824,391.14/160,728.89
  6. Step 6: Final answer
    x = 122,982.40

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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.