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Finding the Fourth Proportional to 106,698.98, 160,056.78 and 31,813.40

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Solution

The fourth proportional to 106,698.98, 160,056.78 and 31,813.40 is: 47,722.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,698.98 : 160,056.78 = 31,813.40 : x
  2. Step 2: Convert to fraction form
    106,698.98/160,056.78 = 31,813.40/x
  3. Step 3: Cross multiply
    106,698.98x = 160,056.78 × 31,813.40
  4. Step 4: Simplify right side
    106,698.98x = 5,091,950,364.85
  5. Step 5: Solve for x
    x = 5,091,950,364.85/106,698.98
  6. Step 6: Final answer
    x = 47,722.58

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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.