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Finding the Fourth Proportional to 145,144.80, 200,286 and 81,468

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Solution

The fourth proportional to 145,144.80, 200,286 and 81,468 is: 112,418.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,144.80 : 200,286 = 81,468 : x
  2. Step 2: Convert to fraction form
    145,144.80/200,286 = 81,468/x
  3. Step 3: Cross multiply
    145,144.80x = 200,286 × 81,468
  4. Step 4: Simplify right side
    145,144.80x = 16,316,899,848
  5. Step 5: Solve for x
    x = 16,316,899,848/145,144.80
  6. Step 6: Final answer
    x = 112,418.08

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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.