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Finding the Fourth Proportional to 78,672.45, 118,049.64 and 31,277.41

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Solution

The fourth proportional to 78,672.45, 118,049.64 and 31,277.41 is: 46,932.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,672.45 : 118,049.64 = 31,277.41 : x
  2. Step 2: Convert to fraction form
    78,672.45/118,049.64 = 31,277.41/x
  3. Step 3: Cross multiply
    78,672.45x = 118,049.64 × 31,277.41
  4. Step 4: Simplify right side
    78,672.45x = 3,692,286,990.63
  5. Step 5: Solve for x
    x = 3,692,286,990.63/78,672.45
  6. Step 6: Final answer
    x = 46,932.40

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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.