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Finding the Fourth Proportional to 211,663.51, 317,339.74 and 106,376.47

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Solution

The fourth proportional to 211,663.51, 317,339.74 and 106,376.47 is: 159,486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,663.51 : 317,339.74 = 106,376.47 : x
  2. Step 2: Convert to fraction form
    211,663.51/317,339.74 = 106,376.47/x
  3. Step 3: Cross multiply
    211,663.51x = 317,339.74 × 106,376.47
  4. Step 4: Simplify right side
    211,663.51x = 33,757,481,331.92
  5. Step 5: Solve for x
    x = 33,757,481,331.92/211,663.51
  6. Step 6: Final answer
    x = 159,486.54

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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.