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Finding the Fourth Proportional to 137,677.74, 189,979.74 and 77,235.84

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Solution

The fourth proportional to 137,677.74, 189,979.74 and 77,235.84 is: 106,576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,677.74 : 189,979.74 = 77,235.84 : x
  2. Step 2: Convert to fraction form
    137,677.74/189,979.74 = 77,235.84/x
  3. Step 3: Cross multiply
    137,677.74x = 189,979.74 × 77,235.84
  4. Step 4: Simplify right side
    137,677.74x = 14,673,244,801.88
  5. Step 5: Solve for x
    x = 14,673,244,801.88/137,677.74
  6. Step 6: Final answer
    x = 106,576.74

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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.