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Finding the Fourth Proportional to 160,209.96, 221,078.34 and 88,576.80

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Solution

The fourth proportional to 160,209.96, 221,078.34 and 88,576.80 is: 122,229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,209.96 : 221,078.34 = 88,576.80 : x
  2. Step 2: Convert to fraction form
    160,209.96/221,078.34 = 88,576.80/x
  3. Step 3: Cross multiply
    160,209.96x = 221,078.34 × 88,576.80
  4. Step 4: Simplify right side
    160,209.96x = 19,582,411,906.51
  5. Step 5: Solve for x
    x = 19,582,411,906.51/160,209.96
  6. Step 6: Final answer
    x = 122,229.68

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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.