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Finding the Fourth Proportional to 255,996.55, 383,980.45 and 78,503.07

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Solution

The fourth proportional to 255,996.55, 383,980.45 and 78,503.07 is: 117,750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,996.55 : 383,980.45 = 78,503.07 : x
  2. Step 2: Convert to fraction form
    255,996.55/383,980.45 = 78,503.07/x
  3. Step 3: Cross multiply
    255,996.55x = 383,980.45 × 78,503.07
  4. Step 4: Simplify right side
    255,996.55x = 30,143,644,144.98
  5. Step 5: Solve for x
    x = 30,143,644,144.98/255,996.55
  6. Step 6: Final answer
    x = 117,750.20

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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.