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Finding the Fourth Proportional to 200,718, 301,193.64 and 89,910

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Solution

The fourth proportional to 200,718, 301,193.64 and 89,910 is: 134,917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,718 : 301,193.64 = 89,910 : x
  2. Step 2: Convert to fraction form
    200,718/301,193.64 = 89,910/x
  3. Step 3: Cross multiply
    200,718x = 301,193.64 × 89,910
  4. Step 4: Simplify right side
    200,718x = 27,080,320,172.40
  5. Step 5: Solve for x
    x = 27,080,320,172.40/200,718
  6. Step 6: Final answer
    x = 134,917.25

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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.