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Finding the Fourth Proportional to 151,202, 208,658.78 and 82,291.72

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Solution

The fourth proportional to 151,202, 208,658.78 and 82,291.72 is: 113,562.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,202 : 208,658.78 = 82,291.72 : x
  2. Step 2: Convert to fraction form
    151,202/208,658.78 = 82,291.72/x
  3. Step 3: Cross multiply
    151,202x = 208,658.78 × 82,291.72
  4. Step 4: Simplify right side
    151,202x = 17,170,889,899.30
  5. Step 5: Solve for x
    x = 17,170,889,899.30/151,202
  6. Step 6: Final answer
    x = 113,562.58

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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.