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Finding the Fourth Proportional to 78,342.52, 117,289.86 and 73,376.68

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Solution

The fourth proportional to 78,342.52, 117,289.86 and 73,376.68 is: 109,855.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,342.52 : 117,289.86 = 73,376.68 : x
  2. Step 2: Convert to fraction form
    78,342.52/117,289.86 = 73,376.68/x
  3. Step 3: Cross multiply
    78,342.52x = 117,289.86 × 73,376.68
  4. Step 4: Simplify right side
    78,342.52x = 8,606,340,524.46
  5. Step 5: Solve for x
    x = 8,606,340,524.46/78,342.52
  6. Step 6: Final answer
    x = 109,855.29

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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.