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Finding the Fourth Proportional to 80,994.40, 121,405.20 and 31,055.20

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Solution

The fourth proportional to 80,994.40, 121,405.20 and 31,055.20 is: 46,549.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,994.40 : 121,405.20 = 31,055.20 : x
  2. Step 2: Convert to fraction form
    80,994.40/121,405.20 = 31,055.20/x
  3. Step 3: Cross multiply
    80,994.40x = 121,405.20 × 31,055.20
  4. Step 4: Simplify right side
    80,994.40x = 3,770,262,767.04
  5. Step 5: Solve for x
    x = 3,770,262,767.04/80,994.40
  6. Step 6: Final answer
    x = 46,549.67

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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.