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Finding the Fourth Proportional to 136,856.74, 188,865.13 and 76,427.44

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Solution

The fourth proportional to 136,856.74, 188,865.13 and 76,427.44 is: 105,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,856.74 : 188,865.13 = 76,427.44 : x
  2. Step 2: Convert to fraction form
    136,856.74/188,865.13 = 76,427.44/x
  3. Step 3: Cross multiply
    136,856.74x = 188,865.13 × 76,427.44
  4. Step 4: Simplify right side
    136,856.74x = 14,434,477,713.12
  5. Step 5: Solve for x
    x = 14,434,477,713.12/136,856.74
  6. Step 6: Final answer
    x = 105,471.44

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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.