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Finding the Fourth Proportional to 198,854.56, 298,328.55 and 65,734.81

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Solution

The fourth proportional to 198,854.56, 298,328.55 and 65,734.81 is: 98,617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,854.56 : 298,328.55 = 65,734.81 : x
  2. Step 2: Convert to fraction form
    198,854.56/298,328.55 = 65,734.81/x
  3. Step 3: Cross multiply
    198,854.56x = 298,328.55 × 65,734.81
  4. Step 4: Simplify right side
    198,854.56x = 19,610,570,551.83
  5. Step 5: Solve for x
    x = 19,610,570,551.83/198,854.56
  6. Step 6: Final answer
    x = 98,617.66

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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.