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Finding the Fourth Proportional to 255,953.10, 384,003.42 and 78,486.27

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Solution

The fourth proportional to 255,953.10, 384,003.42 and 78,486.27 is: 117,752.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,953.10 : 384,003.42 = 78,486.27 : x
  2. Step 2: Convert to fraction form
    255,953.10/384,003.42 = 78,486.27/x
  3. Step 3: Cross multiply
    255,953.10x = 384,003.42 × 78,486.27
  4. Step 4: Simplify right side
    255,953.10x = 30,138,996,103.04
  5. Step 5: Solve for x
    x = 30,138,996,103.04/255,953.10
  6. Step 6: Final answer
    x = 117,752.03

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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.