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Finding the Fourth Proportional to 106,750.94, 159,996.92 and 78,408.18

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Solution

The fourth proportional to 106,750.94, 159,996.92 and 78,408.18 is: 117,517.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,750.94 : 159,996.92 = 78,408.18 : x
  2. Step 2: Convert to fraction form
    106,750.94/159,996.92 = 78,408.18/x
  3. Step 3: Cross multiply
    106,750.94x = 159,996.92 × 78,408.18
  4. Step 4: Simplify right side
    106,750.94x = 12,545,067,302.81
  5. Step 5: Solve for x
    x = 12,545,067,302.81/106,750.94
  6. Step 6: Final answer
    x = 117,517.16

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1.5x scale

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.