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Finding the Fourth Proportional to 255,511.80, 383,341.68 and 105,724.44

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Solution

The fourth proportional to 255,511.80, 383,341.68 and 105,724.44 is: 158,617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,511.80 : 383,341.68 = 105,724.44 : x
  2. Step 2: Convert to fraction form
    255,511.80/383,341.68 = 105,724.44/x
  3. Step 3: Cross multiply
    255,511.80x = 383,341.68 × 105,724.44
  4. Step 4: Simplify right side
    255,511.80x = 40,528,584,446.66
  5. Step 5: Solve for x
    x = 40,528,584,446.66/255,511.80
  6. Step 6: Final answer
    x = 158,617.27

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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.