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Finding the Fourth Proportional to 160,665, 221,625.36 and 100,206.60

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Solution

The fourth proportional to 160,665, 221,625.36 and 100,206.60 is: 138,227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,665 : 221,625.36 = 100,206.60 : x
  2. Step 2: Convert to fraction form
    160,665/221,625.36 = 100,206.60/x
  3. Step 3: Cross multiply
    160,665x = 221,625.36 × 100,206.60
  4. Step 4: Simplify right side
    160,665x = 22,208,323,799.38
  5. Step 5: Solve for x
    x = 22,208,323,799.38/160,665
  6. Step 6: Final answer
    x = 138,227.52

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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.