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Finding the Fourth Proportional to 142,092, 213,198.48 and 53,332.56

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Solution

The fourth proportional to 142,092, 213,198.48 and 53,332.56 is: 80,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,092 : 213,198.48 = 53,332.56 : x
  2. Step 2: Convert to fraction form
    142,092/213,198.48 = 53,332.56/x
  3. Step 3: Cross multiply
    142,092x = 213,198.48 × 53,332.56
  4. Step 4: Simplify right side
    142,092x = 11,370,420,726.51
  5. Step 5: Solve for x
    x = 11,370,420,726.51/142,092
  6. Step 6: Final answer
    x = 80,021.54

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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.