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Finding the Fourth Proportional to 145,857, 201,277.62 and 82,191

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Solution

The fourth proportional to 145,857, 201,277.62 and 82,191 is: 113,420.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,857 : 201,277.62 = 82,191 : x
  2. Step 2: Convert to fraction form
    145,857/201,277.62 = 82,191/x
  3. Step 3: Cross multiply
    145,857x = 201,277.62 × 82,191
  4. Step 4: Simplify right side
    145,857x = 16,543,208,865.42
  5. Step 5: Solve for x
    x = 16,543,208,865.42/145,857
  6. Step 6: Final answer
    x = 113,420.74

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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.