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Finding the Fourth Proportional to 255,996, 383,994 and 69,007.50

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Solution

The fourth proportional to 255,996, 383,994 and 69,007.50 is: 103,511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,996 : 383,994 = 69,007.50 : x
  2. Step 2: Convert to fraction form
    255,996/383,994 = 69,007.50/x
  3. Step 3: Cross multiply
    255,996x = 383,994 × 69,007.50
  4. Step 4: Simplify right side
    255,996x = 26,498,465,955
  5. Step 5: Solve for x
    x = 26,498,465,955/255,996
  6. Step 6: Final answer
    x = 103,511.25

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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.