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Finding the Fourth Proportional to 78,372.16, 117,981.94 and 71,397

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Solution

The fourth proportional to 78,372.16, 117,981.94 and 71,397 is: 107,481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,372.16 : 117,981.94 = 71,397 : x
  2. Step 2: Convert to fraction form
    78,372.16/117,981.94 = 71,397/x
  3. Step 3: Cross multiply
    78,372.16x = 117,981.94 × 71,397
  4. Step 4: Simplify right side
    78,372.16x = 8,423,556,570.18
  5. Step 5: Solve for x
    x = 8,423,556,570.18/78,372.16
  6. Step 6: Final answer
    x = 107,481.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.