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Finding the Fourth Proportional to 221,570.16, 332,285.52 and 71,775.69

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Solution

The fourth proportional to 221,570.16, 332,285.52 and 71,775.69 is: 107,640.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,570.16 : 332,285.52 = 71,775.69 : x
  2. Step 2: Convert to fraction form
    221,570.16/332,285.52 = 71,775.69/x
  3. Step 3: Cross multiply
    221,570.16x = 332,285.52 × 71,775.69
  4. Step 4: Simplify right side
    221,570.16x = 23,850,023,746.01
  5. Step 5: Solve for x
    x = 23,850,023,746.01/221,570.16
  6. Step 6: Final answer
    x = 107,640.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.