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Finding the Fourth Proportional to 255,838.80, 383,723.64 and 68,861.52

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Solution

The fourth proportional to 255,838.80, 383,723.64 and 68,861.52 is: 103,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,838.80 : 383,723.64 = 68,861.52 : x
  2. Step 2: Convert to fraction form
    255,838.80/383,723.64 = 68,861.52/x
  3. Step 3: Cross multiply
    255,838.80x = 383,723.64 × 68,861.52
  4. Step 4: Simplify right side
    255,838.80x = 26,423,793,110.33
  5. Step 5: Solve for x
    x = 26,423,793,110.33/255,838.80
  6. Step 6: Final answer
    x = 103,282.98

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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.