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Finding the Fourth Proportional to 102,012.75, 140,794.31 and 84,990

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Solution

The fourth proportional to 102,012.75, 140,794.31 and 84,990 is: 117,300.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,012.75 : 140,794.31 = 84,990 : x
  2. Step 2: Convert to fraction form
    102,012.75/140,794.31 = 84,990/x
  3. Step 3: Cross multiply
    102,012.75x = 140,794.31 × 84,990
  4. Step 4: Simplify right side
    102,012.75x = 11,966,108,406.90
  5. Step 5: Solve for x
    x = 11,966,108,406.90/102,012.75
  6. Step 6: Final answer
    x = 117,300.13

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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.