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Finding the Fourth Proportional to 142,309.98, 213,399.36 and 83,163.78

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Solution

The fourth proportional to 142,309.98, 213,399.36 and 83,163.78 is: 124,707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,309.98 : 213,399.36 = 83,163.78 : x
  2. Step 2: Convert to fraction form
    142,309.98/213,399.36 = 83,163.78/x
  3. Step 3: Cross multiply
    142,309.98x = 213,399.36 × 83,163.78
  4. Step 4: Simplify right side
    142,309.98x = 17,747,097,427.18
  5. Step 5: Solve for x
    x = 17,747,097,427.18/142,309.98
  6. Step 6: Final answer
    x = 124,707.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.