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Finding the Fourth Proportional to 198,795.40, 298,113.90 and 65,638.60

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Solution

The fourth proportional to 198,795.40, 298,113.90 and 65,638.60 is: 98,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,795.40 : 298,113.90 = 65,638.60 : x
  2. Step 2: Convert to fraction form
    198,795.40/298,113.90 = 65,638.60/x
  3. Step 3: Cross multiply
    198,795.40x = 298,113.90 × 65,638.60
  4. Step 4: Simplify right side
    198,795.40x = 19,567,779,036.54
  5. Step 5: Solve for x
    x = 19,567,779,036.54/198,795.40
  6. Step 6: Final answer
    x = 98,431.75

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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.