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Finding the Fourth Proportional to 198,955.72, 298,057.98 and 154,054.16

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Solution

The fourth proportional to 198,955.72, 298,057.98 and 154,054.16 is: 230,790.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,955.72 : 298,057.98 = 154,054.16 : x
  2. Step 2: Convert to fraction form
    198,955.72/298,057.98 = 154,054.16/x
  3. Step 3: Cross multiply
    198,955.72x = 298,057.98 × 154,054.16
  4. Step 4: Simplify right side
    198,955.72x = 45,917,071,740.20
  5. Step 5: Solve for x
    x = 45,917,071,740.20/198,955.72
  6. Step 6: Final answer
    x = 230,790.41

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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.