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Finding the Fourth Proportional to 145,159.94, 200,336.81 and 84,745.43

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Solution

The fourth proportional to 145,159.94, 200,336.81 and 84,745.43 is: 116,958.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,159.94 : 200,336.81 = 84,745.43 : x
  2. Step 2: Convert to fraction form
    145,159.94/200,336.81 = 84,745.43/x
  3. Step 3: Cross multiply
    145,159.94x = 200,336.81 × 84,745.43
  4. Step 4: Simplify right side
    145,159.94x = 16,977,629,108.28
  5. Step 5: Solve for x
    x = 16,977,629,108.28/145,159.94
  6. Step 6: Final answer
    x = 116,958.09

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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.