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Finding the Fourth Proportional to 149,537.61, 206,360.87 and 82,469.61

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Solution

The fourth proportional to 149,537.61, 206,360.87 and 82,469.61 is: 113,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,537.61 : 206,360.87 = 82,469.61 : x
  2. Step 2: Convert to fraction form
    149,537.61/206,360.87 = 82,469.61/x
  3. Step 3: Cross multiply
    149,537.61x = 206,360.87 × 82,469.61
  4. Step 4: Simplify right side
    149,537.61x = 17,018,500,055.81
  5. Step 5: Solve for x
    x = 17,018,500,055.81/149,537.61
  6. Step 6: Final answer
    x = 113,807.49

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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.