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Finding the Fourth Proportional to 101,185.07, 151,870.95 and 51,300

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Solution

The fourth proportional to 101,185.07, 151,870.95 and 51,300 is: 76,997.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,185.07 : 151,870.95 = 51,300 : x
  2. Step 2: Convert to fraction form
    101,185.07/151,870.95 = 51,300/x
  3. Step 3: Cross multiply
    101,185.07x = 151,870.95 × 51,300
  4. Step 4: Simplify right side
    101,185.07x = 7,790,979,735.00
  5. Step 5: Solve for x
    x = 7,790,979,735.00/101,185.07
  6. Step 6: Final answer
    x = 76,997.33

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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.