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Finding the Fourth Proportional to 114,994.42, 158,765.21 and 78,756.64

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Solution

The fourth proportional to 114,994.42, 158,765.21 and 78,756.64 is: 108,734.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,994.42 : 158,765.21 = 78,756.64 : x
  2. Step 2: Convert to fraction form
    114,994.42/158,765.21 = 78,756.64/x
  3. Step 3: Cross multiply
    114,994.42x = 158,765.21 × 78,756.64
  4. Step 4: Simplify right side
    114,994.42x = 12,503,814,488.49
  5. Step 5: Solve for x
    x = 12,503,814,488.49/114,994.42
  6. Step 6: Final answer
    x = 108,734.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.