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Finding the Fourth Proportional to 201,315.10, 301,751.22 and 82,921.86

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Solution

The fourth proportional to 201,315.10, 301,751.22 and 82,921.86 is: 124,291.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,315.10 : 301,751.22 = 82,921.86 : x
  2. Step 2: Convert to fraction form
    201,315.10/301,751.22 = 82,921.86/x
  3. Step 3: Cross multiply
    201,315.10x = 301,751.22 × 82,921.86
  4. Step 4: Simplify right side
    201,315.10x = 25,021,772,419.67
  5. Step 5: Solve for x
    x = 25,021,772,419.67/201,315.10
  6. Step 6: Final answer
    x = 124,291.58

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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.