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Finding the Fourth Proportional to 160,821.92, 221,947.86 and 89,225

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Solution

The fourth proportional to 160,821.92, 221,947.86 and 89,225 is: 123,138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,821.92 : 221,947.86 = 89,225 : x
  2. Step 2: Convert to fraction form
    160,821.92/221,947.86 = 89,225/x
  3. Step 3: Cross multiply
    160,821.92x = 221,947.86 × 89,225
  4. Step 4: Simplify right side
    160,821.92x = 19,803,297,808.50
  5. Step 5: Solve for x
    x = 19,803,297,808.50/160,821.92
  6. Step 6: Final answer
    x = 123,138.05

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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.