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Finding the Fourth Proportional to 78,164.36, 117,246.59 and 54,894.68

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Solution

The fourth proportional to 78,164.36, 117,246.59 and 54,894.68 is: 82,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,164.36 : 117,246.59 = 54,894.68 : x
  2. Step 2: Convert to fraction form
    78,164.36/117,246.59 = 54,894.68/x
  3. Step 3: Cross multiply
    78,164.36x = 117,246.59 × 54,894.68
  4. Step 4: Simplify right side
    78,164.36x = 6,436,214,195.02
  5. Step 5: Solve for x
    x = 6,436,214,195.02/78,164.36
  6. Step 6: Final answer
    x = 82,342.05

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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.