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Finding the Fourth Proportional to 137,446.92, 189,676.65 and 77,018.06

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Solution

The fourth proportional to 137,446.92, 189,676.65 and 77,018.06 is: 106,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,446.92 : 189,676.65 = 77,018.06 : x
  2. Step 2: Convert to fraction form
    137,446.92/189,676.65 = 77,018.06/x
  3. Step 3: Cross multiply
    137,446.92x = 189,676.65 × 77,018.06
  4. Step 4: Simplify right side
    137,446.92x = 14,608,526,661.92
  5. Step 5: Solve for x
    x = 14,608,526,661.92/137,446.92
  6. Step 6: Final answer
    x = 106,284.86

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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.