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Finding the Fourth Proportional to 208,540.80, 312,811.20 and 141,618.60

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Solution

The fourth proportional to 208,540.80, 312,811.20 and 141,618.60 is: 212,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,540.80 : 312,811.20 = 141,618.60 : x
  2. Step 2: Convert to fraction form
    208,540.80/312,811.20 = 141,618.60/x
  3. Step 3: Cross multiply
    208,540.80x = 312,811.20 × 141,618.60
  4. Step 4: Simplify right side
    208,540.80x = 44,299,884,208.32
  5. Step 5: Solve for x
    x = 44,299,884,208.32/208,540.80
  6. Step 6: Final answer
    x = 212,427.90

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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.