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Finding the Fourth Proportional to 172,428.96, 258,643.54 and 47,769.96

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Solution

The fourth proportional to 172,428.96, 258,643.54 and 47,769.96 is: 71,654.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,428.96 : 258,643.54 = 47,769.96 : x
  2. Step 2: Convert to fraction form
    172,428.96/258,643.54 = 47,769.96/x
  3. Step 3: Cross multiply
    172,428.96x = 258,643.54 × 47,769.96
  4. Step 4: Simplify right side
    172,428.96x = 12,355,391,560.06
  5. Step 5: Solve for x
    x = 12,355,391,560.06/172,428.96
  6. Step 6: Final answer
    x = 71,654.97

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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.