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Finding the Fourth Proportional to 211,858.12, 317,782.32 and 106,648.84

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Solution

The fourth proportional to 211,858.12, 317,782.32 and 106,648.84 is: 159,970.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,858.12 : 317,782.32 = 106,648.84 : x
  2. Step 2: Convert to fraction form
    211,858.12/317,782.32 = 106,648.84/x
  3. Step 3: Cross multiply
    211,858.12x = 317,782.32 × 106,648.84
  4. Step 4: Simplify right side
    211,858.12x = 33,891,115,800.51
  5. Step 5: Solve for x
    x = 33,891,115,800.51/211,858.12
  6. Step 6: Final answer
    x = 159,970.81

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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.