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Finding the Fourth Proportional to 255,732.54, 383,641.71 and 78,197.94

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Solution

The fourth proportional to 255,732.54, 383,641.71 and 78,197.94 is: 117,310.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,732.54 : 383,641.71 = 78,197.94 : x
  2. Step 2: Convert to fraction form
    255,732.54/383,641.71 = 78,197.94/x
  3. Step 3: Cross multiply
    255,732.54x = 383,641.71 × 78,197.94
  4. Step 4: Simplify right side
    255,732.54x = 29,999,991,420.08
  5. Step 5: Solve for x
    x = 29,999,991,420.08/255,732.54
  6. Step 6: Final answer
    x = 117,310.03

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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.