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Finding the Fourth Proportional to 115,986.94, 173,980.41 and 28,434.94

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Solution

The fourth proportional to 115,986.94, 173,980.41 and 28,434.94 is: 42,652.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,986.94 : 173,980.41 = 28,434.94 : x
  2. Step 2: Convert to fraction form
    115,986.94/173,980.41 = 28,434.94/x
  3. Step 3: Cross multiply
    115,986.94x = 173,980.41 × 28,434.94
  4. Step 4: Simplify right side
    115,986.94x = 4,947,121,977.94
  5. Step 5: Solve for x
    x = 4,947,121,977.94/115,986.94
  6. Step 6: Final answer
    x = 42,652.41

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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.