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Finding the Fourth Proportional to 101,722.64, 140,369.64 and 57,002

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Solution

The fourth proportional to 101,722.64, 140,369.64 and 57,002 is: 78,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,722.64 : 140,369.64 = 57,002 : x
  2. Step 2: Convert to fraction form
    101,722.64/140,369.64 = 57,002/x
  3. Step 3: Cross multiply
    101,722.64x = 140,369.64 × 57,002
  4. Step 4: Simplify right side
    101,722.64x = 8,001,350,219.28
  5. Step 5: Solve for x
    x = 8,001,350,219.28/101,722.64
  6. Step 6: Final answer
    x = 78,658.50

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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.