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Finding the Fourth Proportional to 198,742.40, 298,011.20 and 74,019.20

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Solution

The fourth proportional to 198,742.40, 298,011.20 and 74,019.20 is: 110,990.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,742.40 : 298,011.20 = 74,019.20 : x
  2. Step 2: Convert to fraction form
    198,742.40/298,011.20 = 74,019.20/x
  3. Step 3: Cross multiply
    198,742.40x = 298,011.20 × 74,019.20
  4. Step 4: Simplify right side
    198,742.40x = 22,058,550,615.04
  5. Step 5: Solve for x
    x = 22,058,550,615.04/198,742.40
  6. Step 6: Final answer
    x = 110,990.66

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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.