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Finding the Fourth Proportional to 201,009.20, 301,513.80 and 51,249.20

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Solution

The fourth proportional to 201,009.20, 301,513.80 and 51,249.20 is: 76,873.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,009.20 : 301,513.80 = 51,249.20 : x
  2. Step 2: Convert to fraction form
    201,009.20/301,513.80 = 51,249.20/x
  3. Step 3: Cross multiply
    201,009.20x = 301,513.80 × 51,249.20
  4. Step 4: Simplify right side
    201,009.20x = 15,452,341,038.96
  5. Step 5: Solve for x
    x = 15,452,341,038.96/201,009.20
  6. Step 6: Final answer
    x = 76,873.80

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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.