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Finding the Fourth Proportional to 172,092.54, 258,099.89 and 65,438.45

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Solution

The fourth proportional to 172,092.54, 258,099.89 and 65,438.45 is: 98,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,092.54 : 258,099.89 = 65,438.45 : x
  2. Step 2: Convert to fraction form
    172,092.54/258,099.89 = 65,438.45/x
  3. Step 3: Cross multiply
    172,092.54x = 258,099.89 × 65,438.45
  4. Step 4: Simplify right side
    172,092.54x = 16,889,655,129.08
  5. Step 5: Solve for x
    x = 16,889,655,129.08/172,092.54
  6. Step 6: Final answer
    x = 98,142.87

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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.