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Finding the Fourth Proportional to 137,308.94, 189,469.71 and 76,874.84

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Solution

The fourth proportional to 137,308.94, 189,469.71 and 76,874.84 is: 106,077.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,308.94 : 189,469.71 = 76,874.84 : x
  2. Step 2: Convert to fraction form
    137,308.94/189,469.71 = 76,874.84/x
  3. Step 3: Cross multiply
    137,308.94x = 189,469.71 × 76,874.84
  4. Step 4: Simplify right side
    137,308.94x = 14,565,453,641.10
  5. Step 5: Solve for x
    x = 14,565,453,641.10/137,308.94
  6. Step 6: Final answer
    x = 106,077.97

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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.