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Finding the Fourth Proportional to 166,469.40, 249,485.40 and 147,661.20

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Solution

The fourth proportional to 166,469.40, 249,485.40 and 147,661.20 is: 221,297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,469.40 : 249,485.40 = 147,661.20 : x
  2. Step 2: Convert to fraction form
    166,469.40/249,485.40 = 147,661.20/x
  3. Step 3: Cross multiply
    166,469.40x = 249,485.40 × 147,661.20
  4. Step 4: Simplify right side
    166,469.40x = 36,839,313,546.48
  5. Step 5: Solve for x
    x = 36,839,313,546.48/166,469.40
  6. Step 6: Final answer
    x = 221,297.81

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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.