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Finding the Fourth Proportional to 172,038.06, 258,057.09 and 53,719.54

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Solution

The fourth proportional to 172,038.06, 258,057.09 and 53,719.54 is: 80,579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,038.06 : 258,057.09 = 53,719.54 : x
  2. Step 2: Convert to fraction form
    172,038.06/258,057.09 = 53,719.54/x
  3. Step 3: Cross multiply
    172,038.06x = 258,057.09 × 53,719.54
  4. Step 4: Simplify right side
    172,038.06x = 13,862,707,523.40
  5. Step 5: Solve for x
    x = 13,862,707,523.40/172,038.06
  6. Step 6: Final answer
    x = 80,579.31

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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.