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Finding the Fourth Proportional to 255,744.84, 383,632.64 and 78,253.39

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Solution

The fourth proportional to 255,744.84, 383,632.64 and 78,253.39 is: 117,384.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,744.84 : 383,632.64 = 78,253.39 : x
  2. Step 2: Convert to fraction form
    255,744.84/383,632.64 = 78,253.39/x
  3. Step 3: Cross multiply
    255,744.84x = 383,632.64 × 78,253.39
  4. Step 4: Simplify right side
    255,744.84x = 30,020,554,976.37
  5. Step 5: Solve for x
    x = 30,020,554,976.37/255,744.84
  6. Step 6: Final answer
    x = 117,384.79

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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.