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Finding the Fourth Proportional to 160,803.92, 221,923.02 and 89,207

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Solution

The fourth proportional to 160,803.92, 221,923.02 and 89,207 is: 123,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,803.92 : 221,923.02 = 89,207 : x
  2. Step 2: Convert to fraction form
    160,803.92/221,923.02 = 89,207/x
  3. Step 3: Cross multiply
    160,803.92x = 221,923.02 × 89,207
  4. Step 4: Simplify right side
    160,803.92x = 19,797,086,845.14
  5. Step 5: Solve for x
    x = 19,797,086,845.14/160,803.92
  6. Step 6: Final answer
    x = 123,113.21

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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.