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Finding the Fourth Proportional to 145,616.94, 200,924.55 and 81,941.22

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Solution

The fourth proportional to 145,616.94, 200,924.55 and 81,941.22 is: 113,063.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,616.94 : 200,924.55 = 81,941.22 : x
  2. Step 2: Convert to fraction form
    145,616.94/200,924.55 = 81,941.22/x
  3. Step 3: Cross multiply
    145,616.94x = 200,924.55 × 81,941.22
  4. Step 4: Simplify right side
    145,616.94x = 16,464,002,754.95
  5. Step 5: Solve for x
    x = 16,464,002,754.95/145,616.94
  6. Step 6: Final answer
    x = 113,063.79

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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.