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Finding the Fourth Proportional to 100,653.51, 151,013.07 and 50,729.77

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Solution

The fourth proportional to 100,653.51, 151,013.07 and 50,729.77 is: 76,111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,653.51 : 151,013.07 = 50,729.77 : x
  2. Step 2: Convert to fraction form
    100,653.51/151,013.07 = 50,729.77/x
  3. Step 3: Cross multiply
    100,653.51x = 151,013.07 × 50,729.77
  4. Step 4: Simplify right side
    100,653.51x = 7,660,857,930.56
  5. Step 5: Solve for x
    x = 7,660,857,930.56/100,653.51
  6. Step 6: Final answer
    x = 76,111.19

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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.