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Finding the Fourth Proportional to 78,468.63, 117,754.78 and 36,918.87

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Solution

The fourth proportional to 78,468.63, 117,754.78 and 36,918.87 is: 55,402.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,468.63 : 117,754.78 = 36,918.87 : x
  2. Step 2: Convert to fraction form
    78,468.63/117,754.78 = 36,918.87/x
  3. Step 3: Cross multiply
    78,468.63x = 117,754.78 × 36,918.87
  4. Step 4: Simplify right side
    78,468.63x = 4,347,372,733.63
  5. Step 5: Solve for x
    x = 4,347,372,733.63/78,468.63
  6. Step 6: Final answer
    x = 55,402.69

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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.