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Finding the Fourth Proportional to 78,771.84, 118,072.32 and 38,818.56

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Solution

The fourth proportional to 78,771.84, 118,072.32 and 38,818.56 is: 58,185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,771.84 : 118,072.32 = 38,818.56 : x
  2. Step 2: Convert to fraction form
    78,771.84/118,072.32 = 38,818.56/x
  3. Step 3: Cross multiply
    78,771.84x = 118,072.32 × 38,818.56
  4. Step 4: Simplify right side
    78,771.84x = 4,583,397,438.26
  5. Step 5: Solve for x
    x = 4,583,397,438.26/78,771.84
  6. Step 6: Final answer
    x = 58,185.74

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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.