Home / 106,794-160,185.48-31,914.77

Finding the Fourth Proportional to 106,794, 160,185.48 and 31,914.77

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Solution

The fourth proportional to 106,794, 160,185.48 and 31,914.77 is: 47,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,794 : 160,185.48 = 31,914.77 : x
  2. Step 2: Convert to fraction form
    106,794/160,185.48 = 31,914.77/x
  3. Step 3: Cross multiply
    106,794x = 160,185.48 × 31,914.77
  4. Step 4: Simplify right side
    106,794x = 5,112,281,950.61
  5. Step 5: Solve for x
    x = 5,112,281,950.61/106,794
  6. Step 6: Final answer
    x = 47,870.50

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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.