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Finding the Fourth Proportional to 78,782.83, 118,143.41 and 27,478.54

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Solution

The fourth proportional to 78,782.83, 118,143.41 and 27,478.54 is: 41,207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,782.83 : 118,143.41 = 27,478.54 : x
  2. Step 2: Convert to fraction form
    78,782.83/118,143.41 = 27,478.54/x
  3. Step 3: Cross multiply
    78,782.83x = 118,143.41 × 27,478.54
  4. Step 4: Simplify right side
    78,782.83x = 3,246,407,984.67
  5. Step 5: Solve for x
    x = 3,246,407,984.67/78,782.83
  6. Step 6: Final answer
    x = 41,207.05

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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.