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Finding the Fourth Proportional to 101,894, 140,626.68 and 57,182

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Solution

The fourth proportional to 101,894, 140,626.68 and 57,182 is: 78,918.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,894 : 140,626.68 = 57,182 : x
  2. Step 2: Convert to fraction form
    101,894/140,626.68 = 57,182/x
  3. Step 3: Cross multiply
    101,894x = 140,626.68 × 57,182
  4. Step 4: Simplify right side
    101,894x = 8,041,314,815.76
  5. Step 5: Solve for x
    x = 8,041,314,815.76/101,894
  6. Step 6: Final answer
    x = 78,918.43

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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.