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Finding the Fourth Proportional to 160,811.92, 221,934.06 and 89,215

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Solution

The fourth proportional to 160,811.92, 221,934.06 and 89,215 is: 123,124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,811.92 : 221,934.06 = 89,215 : x
  2. Step 2: Convert to fraction form
    160,811.92/221,934.06 = 89,215/x
  3. Step 3: Cross multiply
    160,811.92x = 221,934.06 × 89,215
  4. Step 4: Simplify right side
    160,811.92x = 19,799,847,162.90
  5. Step 5: Solve for x
    x = 19,799,847,162.90/160,811.92
  6. Step 6: Final answer
    x = 123,124.25

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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.