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Finding the Fourth Proportional to 100,410.63, 138,514.62 and 68,134.15

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Solution

The fourth proportional to 100,410.63, 138,514.62 and 68,134.15 is: 93,989.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,410.63 : 138,514.62 = 68,134.15 : x
  2. Step 2: Convert to fraction form
    100,410.63/138,514.62 = 68,134.15/x
  3. Step 3: Cross multiply
    100,410.63x = 138,514.62 × 68,134.15
  4. Step 4: Simplify right side
    100,410.63x = 9,437,575,896.27
  5. Step 5: Solve for x
    x = 9,437,575,896.27/100,410.63
  6. Step 6: Final answer
    x = 93,989.81

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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.