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Finding the Fourth Proportional to 78,321.60, 117,339.84 and 69,923.52

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Solution

The fourth proportional to 78,321.60, 117,339.84 and 69,923.52 is: 104,758.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,321.60 : 117,339.84 = 69,923.52 : x
  2. Step 2: Convert to fraction form
    78,321.60/117,339.84 = 69,923.52/x
  3. Step 3: Cross multiply
    78,321.60x = 117,339.84 × 69,923.52
  4. Step 4: Simplify right side
    78,321.60x = 8,204,814,649.04
  5. Step 5: Solve for x
    x = 8,204,814,649.04/78,321.60
  6. Step 6: Final answer
    x = 104,758.01

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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.