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Finding the Fourth Proportional to 102,092.94, 140,876.01 and 56,759.54

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Solution

The fourth proportional to 102,092.94, 140,876.01 and 56,759.54 is: 78,321.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,092.94 : 140,876.01 = 56,759.54 : x
  2. Step 2: Convert to fraction form
    102,092.94/140,876.01 = 56,759.54/x
  3. Step 3: Cross multiply
    102,092.94x = 140,876.01 × 56,759.54
  4. Step 4: Simplify right side
    102,092.94x = 7,996,056,820.26
  5. Step 5: Solve for x
    x = 7,996,056,820.26/102,092.94
  6. Step 6: Final answer
    x = 78,321.35

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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.