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Finding the Fourth Proportional to 255,978.04, 384,012.63 and 87,517.09

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Solution

The fourth proportional to 255,978.04, 384,012.63 and 87,517.09 is: 131,291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,978.04 : 384,012.63 = 87,517.09 : x
  2. Step 2: Convert to fraction form
    255,978.04/384,012.63 = 87,517.09/x
  3. Step 3: Cross multiply
    255,978.04x = 384,012.63 × 87,517.09
  4. Step 4: Simplify right side
    255,978.04x = 33,607,667,900.85
  5. Step 5: Solve for x
    x = 33,607,667,900.85/255,978.04
  6. Step 6: Final answer
    x = 131,291.22

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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.