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Finding the Fourth Proportional to 160,635.78, 221,683.10 and 96,961.14

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Solution

The fourth proportional to 160,635.78, 221,683.10 and 96,961.14 is: 133,809.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,635.78 : 221,683.10 = 96,961.14 : x
  2. Step 2: Convert to fraction form
    160,635.78/221,683.10 = 96,961.14/x
  3. Step 3: Cross multiply
    160,635.78x = 221,683.10 × 96,961.14
  4. Step 4: Simplify right side
    160,635.78x = 21,494,645,609.93
  5. Step 5: Solve for x
    x = 21,494,645,609.93/160,635.78
  6. Step 6: Final answer
    x = 133,809.82

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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.