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Finding the Fourth Proportional to 160,121.18, 220,968.09 and 87,524.17

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Solution

The fourth proportional to 160,121.18, 220,968.09 and 87,524.17 is: 120,783.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,121.18 : 220,968.09 = 87,524.17 : x
  2. Step 2: Convert to fraction form
    160,121.18/220,968.09 = 87,524.17/x
  3. Step 3: Cross multiply
    160,121.18x = 220,968.09 × 87,524.17
  4. Step 4: Simplify right side
    160,121.18x = 19,340,048,673.74
  5. Step 5: Solve for x
    x = 19,340,048,673.74/160,121.18
  6. Step 6: Final answer
    x = 120,783.83

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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.