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Finding the Fourth Proportional to 142,999.99, 197,357.49 and 82,570.48

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Solution

The fourth proportional to 142,999.99, 197,357.49 and 82,570.48 is: 113,957.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,999.99 : 197,357.49 = 82,570.48 : x
  2. Step 2: Convert to fraction form
    142,999.99/197,357.49 = 82,570.48/x
  3. Step 3: Cross multiply
    142,999.99x = 197,357.49 × 82,570.48
  4. Step 4: Simplify right side
    142,999.99x = 16,295,902,187.50
  5. Step 5: Solve for x
    x = 16,295,902,187.50/142,999.99
  6. Step 6: Final answer
    x = 113,957.37

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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.