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Finding the Fourth Proportional to 200,675.58, 301,029.76 and 100,784.40

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Solution

The fourth proportional to 200,675.58, 301,029.76 and 100,784.40 is: 151,184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,675.58 : 301,029.76 = 100,784.40 : x
  2. Step 2: Convert to fraction form
    200,675.58/301,029.76 = 100,784.40/x
  3. Step 3: Cross multiply
    200,675.58x = 301,029.76 × 100,784.40
  4. Step 4: Simplify right side
    200,675.58x = 30,339,103,743.74
  5. Step 5: Solve for x
    x = 30,339,103,743.74/200,675.58
  6. Step 6: Final answer
    x = 151,184.83

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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.