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Finding the Fourth Proportional to 140,676.21, 194,133.18 and 77,014.01

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Solution

The fourth proportional to 140,676.21, 194,133.18 and 77,014.01 is: 106,279.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,676.21 : 194,133.18 = 77,014.01 : x
  2. Step 2: Convert to fraction form
    140,676.21/194,133.18 = 77,014.01/x
  3. Step 3: Cross multiply
    140,676.21x = 194,133.18 × 77,014.01
  4. Step 4: Simplify right side
    140,676.21x = 14,950,973,695.19
  5. Step 5: Solve for x
    x = 14,950,973,695.19/140,676.21
  6. Step 6: Final answer
    x = 106,279.33

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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.