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Finding the Fourth Proportional to 78,134.92, 117,207.54 and 30,746.27

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Solution

The fourth proportional to 78,134.92, 117,207.54 and 30,746.27 is: 46,121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,134.92 : 117,207.54 = 30,746.27 : x
  2. Step 2: Convert to fraction form
    78,134.92/117,207.54 = 30,746.27/x
  3. Step 3: Cross multiply
    78,134.92x = 117,207.54 × 30,746.27
  4. Step 4: Simplify right side
    78,134.92x = 3,603,694,670.88
  5. Step 5: Solve for x
    x = 3,603,694,670.88/78,134.92
  6. Step 6: Final answer
    x = 46,121.44

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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.