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Finding the Fourth Proportional to 137,264.41, 189,408.94 and 76,838.41

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Solution

The fourth proportional to 137,264.41, 189,408.94 and 76,838.41 is: 106,028.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,264.41 : 189,408.94 = 76,838.41 : x
  2. Step 2: Convert to fraction form
    137,264.41/189,408.94 = 76,838.41/x
  3. Step 3: Cross multiply
    137,264.41x = 189,408.94 × 76,838.41
  4. Step 4: Simplify right side
    137,264.41x = 14,553,881,789.39
  5. Step 5: Solve for x
    x = 14,553,881,789.39/137,264.41
  6. Step 6: Final answer
    x = 106,028.08

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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.