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Finding the Fourth Proportional to 78,132.63, 117,199.68 and 18,968.82

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Solution

The fourth proportional to 78,132.63, 117,199.68 and 18,968.82 is: 28,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,132.63 : 117,199.68 = 18,968.82 : x
  2. Step 2: Convert to fraction form
    78,132.63/117,199.68 = 18,968.82/x
  3. Step 3: Cross multiply
    78,132.63x = 117,199.68 × 18,968.82
  4. Step 4: Simplify right side
    78,132.63x = 2,223,139,633.98
  5. Step 5: Solve for x
    x = 2,223,139,633.98/78,132.63
  6. Step 6: Final answer
    x = 28,453.41

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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.