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Finding the Fourth Proportional to 140,826, 194,339.88 and 77,166.21

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Solution

The fourth proportional to 140,826, 194,339.88 and 77,166.21 is: 106,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,826 : 194,339.88 = 77,166.21 : x
  2. Step 2: Convert to fraction form
    140,826/194,339.88 = 77,166.21/x
  3. Step 3: Cross multiply
    140,826x = 194,339.88 × 77,166.21
  4. Step 4: Simplify right side
    140,826x = 14,996,471,991.45
  5. Step 5: Solve for x
    x = 14,996,471,991.45/140,826
  6. Step 6: Final answer
    x = 106,489.37

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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.