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Finding the Fourth Proportional to 212,846.26, 319,053.79 and 138,013.87

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Solution

The fourth proportional to 212,846.26, 319,053.79 and 138,013.87 is: 206,881.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,846.26 : 319,053.79 = 138,013.87 : x
  2. Step 2: Convert to fraction form
    212,846.26/319,053.79 = 138,013.87/x
  3. Step 3: Cross multiply
    212,846.26x = 319,053.79 × 138,013.87
  4. Step 4: Simplify right side
    212,846.26x = 44,033,848,296.07
  5. Step 5: Solve for x
    x = 44,033,848,296.07/212,846.26
  6. Step 6: Final answer
    x = 206,881.01

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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.