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Finding the Fourth Proportional to 78,638.67, 117,957.29 and 31,880.43

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Solution

The fourth proportional to 78,638.67, 117,957.29 and 31,880.43 is: 47,820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,638.67 : 117,957.29 = 31,880.43 : x
  2. Step 2: Convert to fraction form
    78,638.67/117,957.29 = 31,880.43/x
  3. Step 3: Cross multiply
    78,638.67x = 117,957.29 × 31,880.43
  4. Step 4: Simplify right side
    78,638.67x = 3,760,528,967.43
  5. Step 5: Solve for x
    x = 3,760,528,967.43/78,638.67
  6. Step 6: Final answer
    x = 47,820.35

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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.