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Finding the Fourth Proportional to 98,540.83, 135,986.31 and 53,218.82

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Solution

The fourth proportional to 98,540.83, 135,986.31 and 53,218.82 is: 73,441.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,540.83 : 135,986.31 = 53,218.82 : x
  2. Step 2: Convert to fraction form
    98,540.83/135,986.31 = 53,218.82/x
  3. Step 3: Cross multiply
    98,540.83x = 135,986.31 × 53,218.82
  4. Step 4: Simplify right side
    98,540.83x = 7,237,030,688.26
  5. Step 5: Solve for x
    x = 7,237,030,688.26/98,540.83
  6. Step 6: Final answer
    x = 73,441.95

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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.