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Finding the Fourth Proportional to 255,054.20, 382,624.87 and 105,212.58

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Solution

The fourth proportional to 255,054.20, 382,624.87 and 105,212.58 is: 157,836.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,054.20 : 382,624.87 = 105,212.58 : x
  2. Step 2: Convert to fraction form
    255,054.20/382,624.87 = 105,212.58/x
  3. Step 3: Cross multiply
    255,054.20x = 382,624.87 × 105,212.58
  4. Step 4: Simplify right side
    255,054.20x = 40,256,949,744.86
  5. Step 5: Solve for x
    x = 40,256,949,744.86/255,054.20
  6. Step 6: Final answer
    x = 157,836.84

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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.