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Finding the Fourth Proportional to 202,513.90, 303,742.05 and 69,400.30

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Solution

The fourth proportional to 202,513.90, 303,742.05 and 69,400.30 is: 104,090.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,513.90 : 303,742.05 = 69,400.30 : x
  2. Step 2: Convert to fraction form
    202,513.90/303,742.05 = 69,400.30/x
  3. Step 3: Cross multiply
    202,513.90x = 303,742.05 × 69,400.30
  4. Step 4: Simplify right side
    202,513.90x = 21,079,789,392.62
  5. Step 5: Solve for x
    x = 21,079,789,392.62/202,513.90
  6. Step 6: Final answer
    x = 104,090.58

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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.