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Finding the Fourth Proportional to 221,697.64, 332,657.66 and 103,378.28

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Solution

The fourth proportional to 221,697.64, 332,657.66 and 103,378.28 is: 155,119.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,697.64 : 332,657.66 = 103,378.28 : x
  2. Step 2: Convert to fraction form
    221,697.64/332,657.66 = 103,378.28/x
  3. Step 3: Cross multiply
    221,697.64x = 332,657.66 × 103,378.28
  4. Step 4: Simplify right side
    221,697.64x = 34,389,576,719.62
  5. Step 5: Solve for x
    x = 34,389,576,719.62/221,697.64
  6. Step 6: Final answer
    x = 155,119.27

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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.