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Finding the Fourth Proportional to 115,754, 173,631 and 28,202

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Solution

The fourth proportional to 115,754, 173,631 and 28,202 is: 42,303

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,754 : 173,631 = 28,202 : x
  2. Step 2: Convert to fraction form
    115,754/173,631 = 28,202/x
  3. Step 3: Cross multiply
    115,754x = 173,631 × 28,202
  4. Step 4: Simplify right side
    115,754x = 4,896,741,462
  5. Step 5: Solve for x
    x = 4,896,741,462/115,754
  6. Step 6: Final answer
    x = 42,303

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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.