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Finding the Fourth Proportional to 255,992.72, 384,062.88 and 78,525.86

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Solution

The fourth proportional to 255,992.72, 384,062.88 and 78,525.86 is: 117,811.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,992.72 : 384,062.88 = 78,525.86 : x
  2. Step 2: Convert to fraction form
    255,992.72/384,062.88 = 78,525.86/x
  3. Step 3: Cross multiply
    255,992.72x = 384,062.88 × 78,525.86
  4. Step 4: Simplify right side
    255,992.72x = 30,158,867,946.08
  5. Step 5: Solve for x
    x = 30,158,867,946.08/255,992.72
  6. Step 6: Final answer
    x = 117,811.43

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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.