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Finding the Fourth Proportional to 103,041, 142,198.02 and 60,019.36

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Solution

The fourth proportional to 103,041, 142,198.02 and 60,019.36 is: 82,827.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,041 : 142,198.02 = 60,019.36 : x
  2. Step 2: Convert to fraction form
    103,041/142,198.02 = 60,019.36/x
  3. Step 3: Cross multiply
    103,041x = 142,198.02 × 60,019.36
  4. Step 4: Simplify right side
    103,041x = 8,534,634,153.67
  5. Step 5: Solve for x
    x = 8,534,634,153.67/103,041
  6. Step 6: Final answer
    x = 82,827.56

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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.