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Finding the Fourth Proportional to 78,529.92, 117,613.44 and 47,296.32

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Solution

The fourth proportional to 78,529.92, 117,613.44 and 47,296.32 is: 70,835.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,529.92 : 117,613.44 = 47,296.32 : x
  2. Step 2: Convert to fraction form
    78,529.92/117,613.44 = 47,296.32/x
  3. Step 3: Cross multiply
    78,529.92x = 117,613.44 × 47,296.32
  4. Step 4: Simplify right side
    78,529.92x = 5,562,682,894.54
  5. Step 5: Solve for x
    x = 5,562,682,894.54/78,529.92
  6. Step 6: Final answer
    x = 70,835.20

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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.