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Finding the Fourth Proportional to 101,897, 140,630.82 and 57,185

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Solution

The fourth proportional to 101,897, 140,630.82 and 57,185 is: 78,922.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,897 : 140,630.82 = 57,185 : x
  2. Step 2: Convert to fraction form
    101,897/140,630.82 = 57,185/x
  3. Step 3: Cross multiply
    101,897x = 140,630.82 × 57,185
  4. Step 4: Simplify right side
    101,897x = 8,041,973,441.70
  5. Step 5: Solve for x
    x = 8,041,973,441.70/101,897
  6. Step 6: Final answer
    x = 78,922.57

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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.