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Finding the Fourth Proportional to 201,665.20, 302,497.80 and 185,918.80

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Solution

The fourth proportional to 201,665.20, 302,497.80 and 185,918.80 is: 278,878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,665.20 : 302,497.80 = 185,918.80 : x
  2. Step 2: Convert to fraction form
    201,665.20/302,497.80 = 185,918.80/x
  3. Step 3: Cross multiply
    201,665.20x = 302,497.80 × 185,918.80
  4. Step 4: Simplify right side
    201,665.20x = 56,240,027,978.64
  5. Step 5: Solve for x
    x = 56,240,027,978.64/201,665.20
  6. Step 6: Final answer
    x = 278,878.20

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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.