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Finding the Fourth Proportional to 204,187.30, 306,390.30 and 85,870.60

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Solution

The fourth proportional to 204,187.30, 306,390.30 and 85,870.60 is: 128,851.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,187.30 : 306,390.30 = 85,870.60 : x
  2. Step 2: Convert to fraction form
    204,187.30/306,390.30 = 85,870.60/x
  3. Step 3: Cross multiply
    204,187.30x = 306,390.30 × 85,870.60
  4. Step 4: Simplify right side
    204,187.30x = 26,309,918,895.18
  5. Step 5: Solve for x
    x = 26,309,918,895.18/204,187.30
  6. Step 6: Final answer
    x = 128,851.89

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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.