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Finding the Fourth Proportional to 204,291.60, 306,072.90 and 98,878.20

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Solution

The fourth proportional to 204,291.60, 306,072.90 and 98,878.20 is: 148,140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,291.60 : 306,072.90 = 98,878.20 : x
  2. Step 2: Convert to fraction form
    204,291.60/306,072.90 = 98,878.20/x
  3. Step 3: Cross multiply
    204,291.60x = 306,072.90 × 98,878.20
  4. Step 4: Simplify right side
    204,291.60x = 30,263,937,420.78
  5. Step 5: Solve for x
    x = 30,263,937,420.78/204,291.60
  6. Step 6: Final answer
    x = 148,140.88

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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.