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Finding the Fourth Proportional to 255,854.36, 383,781.54 and 68,861

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Solution

The fourth proportional to 255,854.36, 383,781.54 and 68,861 is: 103,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,854.36 : 383,781.54 = 68,861 : x
  2. Step 2: Convert to fraction form
    255,854.36/383,781.54 = 68,861/x
  3. Step 3: Cross multiply
    255,854.36x = 383,781.54 × 68,861
  4. Step 4: Simplify right side
    255,854.36x = 26,427,580,625.94
  5. Step 5: Solve for x
    x = 26,427,580,625.94/255,854.36
  6. Step 6: Final answer
    x = 103,291.50

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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.