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Finding the Fourth Proportional to 135,441, 186,846.55 and 87,709.74

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Solution

The fourth proportional to 135,441, 186,846.55 and 87,709.74 is: 120,999.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,441 : 186,846.55 = 87,709.74 : x
  2. Step 2: Convert to fraction form
    135,441/186,846.55 = 87,709.74/x
  3. Step 3: Cross multiply
    135,441x = 186,846.55 × 87,709.74
  4. Step 4: Simplify right side
    135,441x = 16,388,262,320.40
  5. Step 5: Solve for x
    x = 16,388,262,320.40/135,441
  6. Step 6: Final answer
    x = 120,999.27

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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.