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Finding the Fourth Proportional to 255,496.14, 383,021.46 and 105,642.90

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Solution

The fourth proportional to 255,496.14, 383,021.46 and 105,642.90 is: 158,372.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,496.14 : 383,021.46 = 105,642.90 : x
  2. Step 2: Convert to fraction form
    255,496.14/383,021.46 = 105,642.90/x
  3. Step 3: Cross multiply
    255,496.14x = 383,021.46 × 105,642.90
  4. Step 4: Simplify right side
    255,496.14x = 40,463,497,796.63
  5. Step 5: Solve for x
    x = 40,463,497,796.63/255,496.14
  6. Step 6: Final answer
    x = 158,372.25

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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.