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Finding the Fourth Proportional to 172,535.74, 258,829.75 and 54,195.96

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Solution

The fourth proportional to 172,535.74, 258,829.75 and 54,195.96 is: 81,302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,535.74 : 258,829.75 = 54,195.96 : x
  2. Step 2: Convert to fraction form
    172,535.74/258,829.75 = 54,195.96/x
  3. Step 3: Cross multiply
    172,535.74x = 258,829.75 × 54,195.96
  4. Step 4: Simplify right side
    172,535.74x = 14,027,526,777.81
  5. Step 5: Solve for x
    x = 14,027,526,777.81/172,535.74
  6. Step 6: Final answer
    x = 81,302.15

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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.