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Finding the Fourth Proportional to 172,684.96, 259,046 and 54,359.84

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Solution

The fourth proportional to 172,684.96, 259,046 and 54,359.84 is: 81,545.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,684.96 : 259,046 = 54,359.84 : x
  2. Step 2: Convert to fraction form
    172,684.96/259,046 = 54,359.84/x
  3. Step 3: Cross multiply
    172,684.96x = 259,046 × 54,359.84
  4. Step 4: Simplify right side
    172,684.96x = 14,081,699,112.64
  5. Step 5: Solve for x
    x = 14,081,699,112.64/172,684.96
  6. Step 6: Final answer
    x = 81,545.60

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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.