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Finding the Fourth Proportional to 137,093.51, 189,187.75 and 76,663.46

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Solution

The fourth proportional to 137,093.51, 189,187.75 and 76,663.46 is: 105,794.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,093.51 : 189,187.75 = 76,663.46 : x
  2. Step 2: Convert to fraction form
    137,093.51/189,187.75 = 76,663.46/x
  3. Step 3: Cross multiply
    137,093.51x = 189,187.75 × 76,663.46
  4. Step 4: Simplify right side
    137,093.51x = 14,503,788,073.41
  5. Step 5: Solve for x
    x = 14,503,788,073.41/137,093.51
  6. Step 6: Final answer
    x = 105,794.85

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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.