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Finding the Fourth Proportional to 106,749.59, 159,994.90 and 78,406.84

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Solution

The fourth proportional to 106,749.59, 159,994.90 and 78,406.84 is: 117,515.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,749.59 : 159,994.90 = 78,406.84 : x
  2. Step 2: Convert to fraction form
    106,749.59/159,994.90 = 78,406.84/x
  3. Step 3: Cross multiply
    106,749.59x = 159,994.90 × 78,406.84
  4. Step 4: Simplify right side
    106,749.59x = 12,544,694,525.12
  5. Step 5: Solve for x
    x = 12,544,694,525.12/106,749.59
  6. Step 6: Final answer
    x = 117,515.15

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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.