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Finding the Fourth Proportional to 138,170, 190,674.60 and 78,554

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Solution

The fourth proportional to 138,170, 190,674.60 and 78,554 is: 108,404.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,170 : 190,674.60 = 78,554 : x
  2. Step 2: Convert to fraction form
    138,170/190,674.60 = 78,554/x
  3. Step 3: Cross multiply
    138,170x = 190,674.60 × 78,554
  4. Step 4: Simplify right side
    138,170x = 14,978,252,528.40
  5. Step 5: Solve for x
    x = 14,978,252,528.40/138,170
  6. Step 6: Final answer
    x = 108,404.52

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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.