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Finding the Fourth Proportional to 106,751.59, 159,997.90 and 78,408.84

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Solution

The fourth proportional to 106,751.59, 159,997.90 and 78,408.84 is: 117,518.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,751.59 : 159,997.90 = 78,408.84 : x
  2. Step 2: Convert to fraction form
    106,751.59/159,997.90 = 78,408.84/x
  3. Step 3: Cross multiply
    106,751.59x = 159,997.90 × 78,408.84
  4. Step 4: Simplify right side
    106,751.59x = 12,545,249,741.44
  5. Step 5: Solve for x
    x = 12,545,249,741.44/106,751.59
  6. Step 6: Final answer
    x = 117,518.15

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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.