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Finding the Fourth Proportional to 102,994.66, 154,367.23 and 43,705.78

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Solution

The fourth proportional to 102,994.66, 154,367.23 and 43,705.78 is: 65,505.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,994.66 : 154,367.23 = 43,705.78 : x
  2. Step 2: Convert to fraction form
    102,994.66/154,367.23 = 43,705.78/x
  3. Step 3: Cross multiply
    102,994.66x = 154,367.23 × 43,705.78
  4. Step 4: Simplify right side
    102,994.66x = 6,746,739,203.22
  5. Step 5: Solve for x
    x = 6,746,739,203.22/102,994.66
  6. Step 6: Final answer
    x = 65,505.72

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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.