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Finding the Fourth Proportional to 255,996, 383,979.62 and 78,502.52

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Solution

The fourth proportional to 255,996, 383,979.62 and 78,502.52 is: 117,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,996 : 383,979.62 = 78,502.52 : x
  2. Step 2: Convert to fraction form
    255,996/383,979.62 = 78,502.52/x
  3. Step 3: Cross multiply
    255,996x = 383,979.62 × 78,502.52
  4. Step 4: Simplify right side
    255,996x = 30,143,365,486.23
  5. Step 5: Solve for x
    x = 30,143,365,486.23/255,996
  6. Step 6: Final answer
    x = 117,749.36

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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.