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Finding the Fourth Proportional to 251,274.25, 346,758.47 and 138,097

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Solution

The fourth proportional to 251,274.25, 346,758.47 and 138,097 is: 190,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,274.25 : 346,758.47 = 138,097 : x
  2. Step 2: Convert to fraction form
    251,274.25/346,758.47 = 138,097/x
  3. Step 3: Cross multiply
    251,274.25x = 346,758.47 × 138,097
  4. Step 4: Simplify right side
    251,274.25x = 47,886,304,431.59
  5. Step 5: Solve for x
    x = 47,886,304,431.59/251,274.25
  6. Step 6: Final answer
    x = 190,573.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.