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Finding the Fourth Proportional to 200,509.22, 300,756.15 and 67,471.14

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Solution

The fourth proportional to 200,509.22, 300,756.15 and 67,471.14 is: 101,204.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,509.22 : 300,756.15 = 67,471.14 : x
  2. Step 2: Convert to fraction form
    200,509.22/300,756.15 = 67,471.14/x
  3. Step 3: Cross multiply
    200,509.22x = 300,756.15 × 67,471.14
  4. Step 4: Simplify right side
    200,509.22x = 20,292,360,302.51
  5. Step 5: Solve for x
    x = 20,292,360,302.51/200,509.22
  6. Step 6: Final answer
    x = 101,204.13

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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.