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Finding the Fourth Proportional to 102,100, 140,877.34 and 59,650.33

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Solution

The fourth proportional to 102,100, 140,877.34 and 59,650.33 is: 82,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,100 : 140,877.34 = 59,650.33 : x
  2. Step 2: Convert to fraction form
    102,100/140,877.34 = 59,650.33/x
  3. Step 3: Cross multiply
    102,100x = 140,877.34 × 59,650.33
  4. Step 4: Simplify right side
    102,100x = 8,403,379,820.52
  5. Step 5: Solve for x
    x = 8,403,379,820.52/102,100
  6. Step 6: Final answer
    x = 82,305.39

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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.