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Finding the Fourth Proportional to 201,314.10, 301,749.72 and 82,920.86

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Solution

The fourth proportional to 201,314.10, 301,749.72 and 82,920.86 is: 124,290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,314.10 : 301,749.72 = 82,920.86 : x
  2. Step 2: Convert to fraction form
    201,314.10/301,749.72 = 82,920.86/x
  3. Step 3: Cross multiply
    201,314.10x = 301,749.72 × 82,920.86
  4. Step 4: Simplify right side
    201,314.10x = 25,021,346,065.45
  5. Step 5: Solve for x
    x = 25,021,346,065.45/201,314.10
  6. Step 6: Final answer
    x = 124,290.08

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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.