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Finding the Fourth Proportional to 200,720.40, 300,973.68 and 67,556.40

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Solution

The fourth proportional to 200,720.40, 300,973.68 and 67,556.40 is: 101,298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,720.40 : 300,973.68 = 67,556.40 : x
  2. Step 2: Convert to fraction form
    200,720.40/300,973.68 = 67,556.40/x
  3. Step 3: Cross multiply
    200,720.40x = 300,973.68 × 67,556.40
  4. Step 4: Simplify right side
    200,720.40x = 20,332,698,315.55
  5. Step 5: Solve for x
    x = 20,332,698,315.55/200,720.40
  6. Step 6: Final answer
    x = 101,298.61

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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.