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Finding the Fourth Proportional to 98,381, 135,766.26 and 53,669

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Solution

The fourth proportional to 98,381, 135,766.26 and 53,669 is: 74,063.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,381 : 135,766.26 = 53,669 : x
  2. Step 2: Convert to fraction form
    98,381/135,766.26 = 53,669/x
  3. Step 3: Cross multiply
    98,381x = 135,766.26 × 53,669
  4. Step 4: Simplify right side
    98,381x = 7,286,439,407.94
  5. Step 5: Solve for x
    x = 7,286,439,407.94/98,381
  6. Step 6: Final answer
    x = 74,063.48

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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.