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Finding the Fourth Proportional to 101,801, 140,485.46 and 57,089

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Solution

The fourth proportional to 101,801, 140,485.46 and 57,089 is: 78,782.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,801 : 140,485.46 = 57,089 : x
  2. Step 2: Convert to fraction form
    101,801/140,485.46 = 57,089/x
  3. Step 3: Cross multiply
    101,801x = 140,485.46 × 57,089
  4. Step 4: Simplify right side
    101,801x = 8,020,174,425.94
  5. Step 5: Solve for x
    x = 8,020,174,425.94/101,801
  6. Step 6: Final answer
    x = 78,782.86

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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.