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Finding the Fourth Proportional to 78,176.54, 117,264.92 and 54,906.86

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Solution

The fourth proportional to 78,176.54, 117,264.92 and 54,906.86 is: 82,360.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,176.54 : 117,264.92 = 54,906.86 : x
  2. Step 2: Convert to fraction form
    78,176.54/117,264.92 = 54,906.86/x
  3. Step 3: Cross multiply
    78,176.54x = 117,264.92 × 54,906.86
  4. Step 4: Simplify right side
    78,176.54x = 6,438,648,563.98
  5. Step 5: Solve for x
    x = 6,438,648,563.98/78,176.54
  6. Step 6: Final answer
    x = 82,360.36

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1.5x scale

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.