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Finding the Fourth Proportional to 171,853.55, 257,779.87 and 96,939.69

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Solution

The fourth proportional to 171,853.55, 257,779.87 and 96,939.69 is: 145,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,853.55 : 257,779.87 = 96,939.69 : x
  2. Step 2: Convert to fraction form
    171,853.55/257,779.87 = 96,939.69/x
  3. Step 3: Cross multiply
    171,853.55x = 257,779.87 × 96,939.69
  4. Step 4: Simplify right side
    171,853.55x = 24,989,099,477.02
  5. Step 5: Solve for x
    x = 24,989,099,477.02/171,853.55
  6. Step 6: Final answer
    x = 145,409.27

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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.