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Finding the Fourth Proportional to 145,860, 201,286.76 and 82,200.08

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Solution

The fourth proportional to 145,860, 201,286.76 and 82,200.08 is: 113,436.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,860 : 201,286.76 = 82,200.08 : x
  2. Step 2: Convert to fraction form
    145,860/201,286.76 = 82,200.08/x
  3. Step 3: Cross multiply
    145,860x = 201,286.76 × 82,200.08
  4. Step 4: Simplify right side
    145,860x = 16,545,787,774.94
  5. Step 5: Solve for x
    x = 16,545,787,774.94/145,860
  6. Step 6: Final answer
    x = 113,436.09

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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.