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Finding the Fourth Proportional to 201,407.04, 302,118.24 and 75,078.72

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Solution

The fourth proportional to 201,407.04, 302,118.24 and 75,078.72 is: 112,620.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,407.04 : 302,118.24 = 75,078.72 : x
  2. Step 2: Convert to fraction form
    201,407.04/302,118.24 = 75,078.72/x
  3. Step 3: Cross multiply
    201,407.04x = 302,118.24 × 75,078.72
  4. Step 4: Simplify right side
    201,407.04x = 22,682,650,747.85
  5. Step 5: Solve for x
    x = 22,682,650,747.85/201,407.04
  6. Step 6: Final answer
    x = 112,620.94

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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.