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Finding the Fourth Proportional to 45,189, 67,783.50 and 12,357

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Solution

The fourth proportional to 45,189, 67,783.50 and 12,357 is: 18,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,189 : 67,783.50 = 12,357 : x
  2. Step 2: Convert to fraction form
    45,189/67,783.50 = 12,357/x
  3. Step 3: Cross multiply
    45,189x = 67,783.50 × 12,357
  4. Step 4: Simplify right side
    45,189x = 837,600,709.50
  5. Step 5: Solve for x
    x = 837,600,709.50/45,189
  6. Step 6: Final answer
    x = 18,535.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.