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Finding the Fourth Proportional to 275,669.79, 413,562.09 and 86,122.50

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Solution

The fourth proportional to 275,669.79, 413,562.09 and 86,122.50 is: 129,201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,669.79 : 413,562.09 = 86,122.50 : x
  2. Step 2: Convert to fraction form
    275,669.79/413,562.09 = 86,122.50/x
  3. Step 3: Cross multiply
    275,669.79x = 413,562.09 × 86,122.50
  4. Step 4: Simplify right side
    275,669.79x = 35,617,000,665.41
  5. Step 5: Solve for x
    x = 35,617,000,665.41/275,669.79
  6. Step 6: Final answer
    x = 129,201.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.