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Finding the Fourth Proportional to 255,636.64, 383,456.04 and 78,142.96

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Solution

The fourth proportional to 255,636.64, 383,456.04 and 78,142.96 is: 117,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,636.64 : 383,456.04 = 78,142.96 : x
  2. Step 2: Convert to fraction form
    255,636.64/383,456.04 = 78,142.96/x
  3. Step 3: Cross multiply
    255,636.64x = 383,456.04 × 78,142.96
  4. Step 4: Simplify right side
    255,636.64x = 29,964,389,995.48
  5. Step 5: Solve for x
    x = 29,964,389,995.48/255,636.64
  6. Step 6: Final answer
    x = 117,214.77

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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.