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Finding the Fourth Proportional to 102,103.54, 140,902.85 and 57,391.54

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Solution

The fourth proportional to 102,103.54, 140,902.85 and 57,391.54 is: 79,200.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,103.54 : 140,902.85 = 57,391.54 : x
  2. Step 2: Convert to fraction form
    102,103.54/140,902.85 = 57,391.54/x
  3. Step 3: Cross multiply
    102,103.54x = 140,902.85 × 57,391.54
  4. Step 4: Simplify right side
    102,103.54x = 8,086,631,551.89
  5. Step 5: Solve for x
    x = 8,086,631,551.89/102,103.54
  6. Step 6: Final answer
    x = 79,200.31

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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.