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Finding the Fourth Proportional to 78,508.40, 117,589.80 and 55,007.60

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Solution

The fourth proportional to 78,508.40, 117,589.80 and 55,007.60 is: 82,390.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,508.40 : 117,589.80 = 55,007.60 : x
  2. Step 2: Convert to fraction form
    78,508.40/117,589.80 = 55,007.60/x
  3. Step 3: Cross multiply
    78,508.40x = 117,589.80 × 55,007.60
  4. Step 4: Simplify right side
    78,508.40x = 6,468,332,682.48
  5. Step 5: Solve for x
    x = 6,468,332,682.48/78,508.40
  6. Step 6: Final answer
    x = 82,390.33

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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.