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Finding the Fourth Proportional to 201,729.10, 302,593.65 and 91,137.10

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Solution

The fourth proportional to 201,729.10, 302,593.65 and 91,137.10 is: 136,705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,729.10 : 302,593.65 = 91,137.10 : x
  2. Step 2: Convert to fraction form
    201,729.10/302,593.65 = 91,137.10/x
  3. Step 3: Cross multiply
    201,729.10x = 302,593.65 × 91,137.10
  4. Step 4: Simplify right side
    201,729.10x = 27,577,507,739.42
  5. Step 5: Solve for x
    x = 27,577,507,739.42/201,729.10
  6. Step 6: Final answer
    x = 136,705.65

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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.