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Finding the Fourth Proportional to 221,708.52, 332,569.89 and 86,767.26

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Solution

The fourth proportional to 221,708.52, 332,569.89 and 86,767.26 is: 130,153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,708.52 : 332,569.89 = 86,767.26 : x
  2. Step 2: Convert to fraction form
    221,708.52/332,569.89 = 86,767.26/x
  3. Step 3: Cross multiply
    221,708.52x = 332,569.89 × 86,767.26
  4. Step 4: Simplify right side
    221,708.52x = 28,856,178,113.80
  5. Step 5: Solve for x
    x = 28,856,178,113.80/221,708.52
  6. Step 6: Final answer
    x = 130,153.67

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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.