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Finding the Fourth Proportional to 145,872, 201,321.18 and 82,221.39

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Solution

The fourth proportional to 145,872, 201,321.18 and 82,221.39 is: 113,475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,872 : 201,321.18 = 82,221.39 : x
  2. Step 2: Convert to fraction form
    145,872/201,321.18 = 82,221.39/x
  3. Step 3: Cross multiply
    145,872x = 201,321.18 × 82,221.39
  4. Step 4: Simplify right side
    145,872x = 16,552,907,256.04
  5. Step 5: Solve for x
    x = 16,552,907,256.04/145,872
  6. Step 6: Final answer
    x = 113,475.56

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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.