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Finding the Fourth Proportional to 137,696.88, 190,036.26 and 77,283.84

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Solution

The fourth proportional to 137,696.88, 190,036.26 and 77,283.84 is: 106,659.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,696.88 : 190,036.26 = 77,283.84 : x
  2. Step 2: Convert to fraction form
    137,696.88/190,036.26 = 77,283.84/x
  3. Step 3: Cross multiply
    137,696.88x = 190,036.26 × 77,283.84
  4. Step 4: Simplify right side
    137,696.88x = 14,686,731,912.04
  5. Step 5: Solve for x
    x = 14,686,731,912.04/137,696.88
  6. Step 6: Final answer
    x = 106,659.87

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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.