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Finding the Fourth Proportional to 201,978.80, 302,968.20 and 61,719.20

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Solution

The fourth proportional to 201,978.80, 302,968.20 and 61,719.20 is: 92,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,978.80 : 302,968.20 = 61,719.20 : x
  2. Step 2: Convert to fraction form
    201,978.80/302,968.20 = 61,719.20/x
  3. Step 3: Cross multiply
    201,978.80x = 302,968.20 × 61,719.20
  4. Step 4: Simplify right side
    201,978.80x = 18,698,954,929.44
  5. Step 5: Solve for x
    x = 18,698,954,929.44/201,978.80
  6. Step 6: Final answer
    x = 92,578.80

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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.