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Finding the Fourth Proportional to 101,201.40, 151,893.90 and 51,316.20

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Solution

The fourth proportional to 101,201.40, 151,893.90 and 51,316.20 is: 77,020.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,201.40 : 151,893.90 = 51,316.20 : x
  2. Step 2: Convert to fraction form
    101,201.40/151,893.90 = 51,316.20/x
  3. Step 3: Cross multiply
    101,201.40x = 151,893.90 × 51,316.20
  4. Step 4: Simplify right side
    101,201.40x = 7,794,617,751.18
  5. Step 5: Solve for x
    x = 7,794,617,751.18/101,201.40
  6. Step 6: Final answer
    x = 77,020.85

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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.