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Finding the Fourth Proportional to 137,676.74, 189,978.36 and 77,234.84

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Solution

The fourth proportional to 137,676.74, 189,978.36 and 77,234.84 is: 106,575.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,676.74 : 189,978.36 = 77,234.84 : x
  2. Step 2: Convert to fraction form
    137,676.74/189,978.36 = 77,234.84/x
  3. Step 3: Cross multiply
    137,676.74x = 189,978.36 × 77,234.84
  4. Step 4: Simplify right side
    137,676.74x = 14,672,948,238.06
  5. Step 5: Solve for x
    x = 14,672,948,238.06/137,676.74
  6. Step 6: Final answer
    x = 106,575.36

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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.