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Finding the Fourth Proportional to 83,072, 114,638.32 and 47,261.92

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Solution

The fourth proportional to 83,072, 114,638.32 and 47,261.92 is: 65,220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,072 : 114,638.32 = 47,261.92 : x
  2. Step 2: Convert to fraction form
    83,072/114,638.32 = 47,261.92/x
  3. Step 3: Cross multiply
    83,072x = 114,638.32 × 47,261.92
  4. Step 4: Simplify right side
    83,072x = 5,418,027,108.77
  5. Step 5: Solve for x
    x = 5,418,027,108.77/83,072
  6. Step 6: Final answer
    x = 65,220.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.