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Finding the Fourth Proportional to 201,008.90, 301,513.35 and 82,765.10

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Solution

The fourth proportional to 201,008.90, 301,513.35 and 82,765.10 is: 124,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,008.90 : 301,513.35 = 82,765.10 : x
  2. Step 2: Convert to fraction form
    201,008.90/301,513.35 = 82,765.10/x
  3. Step 3: Cross multiply
    201,008.90x = 301,513.35 × 82,765.10
  4. Step 4: Simplify right side
    201,008.90x = 24,954,782,564.09
  5. Step 5: Solve for x
    x = 24,954,782,564.09/201,008.90
  6. Step 6: Final answer
    x = 124,147.65

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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.