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Finding the Fourth Proportional to 255,223.86, 382,835.79 and 68,230.50

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Solution

The fourth proportional to 255,223.86, 382,835.79 and 68,230.50 is: 102,345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,223.86 : 382,835.79 = 68,230.50 : x
  2. Step 2: Convert to fraction form
    255,223.86/382,835.79 = 68,230.50/x
  3. Step 3: Cross multiply
    255,223.86x = 382,835.79 × 68,230.50
  4. Step 4: Simplify right side
    255,223.86x = 26,121,077,369.60
  5. Step 5: Solve for x
    x = 26,121,077,369.60/255,223.86
  6. Step 6: Final answer
    x = 102,345.75

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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.