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Finding the Fourth Proportional to 211,161.60, 316,745.76 and 70,921.44

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Solution

The fourth proportional to 211,161.60, 316,745.76 and 70,921.44 is: 106,383.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,161.60 : 316,745.76 = 70,921.44 : x
  2. Step 2: Convert to fraction form
    211,161.60/316,745.76 = 70,921.44/x
  3. Step 3: Cross multiply
    211,161.60x = 316,745.76 × 70,921.44
  4. Step 4: Simplify right side
    211,161.60x = 22,464,065,413.09
  5. Step 5: Solve for x
    x = 22,464,065,413.09/211,161.60
  6. Step 6: Final answer
    x = 106,383.29

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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.