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Finding the Fourth Proportional to 198,718.94, 298,015.16 and 65,574.38

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Solution

The fourth proportional to 198,718.94, 298,015.16 and 65,574.38 is: 98,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,718.94 : 298,015.16 = 65,574.38 : x
  2. Step 2: Convert to fraction form
    198,718.94/298,015.16 = 65,574.38/x
  3. Step 3: Cross multiply
    198,718.94x = 298,015.16 × 65,574.38
  4. Step 4: Simplify right side
    198,718.94x = 19,542,159,347.60
  5. Step 5: Solve for x
    x = 19,542,159,347.60/198,718.94
  6. Step 6: Final answer
    x = 98,340.70

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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.