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Finding the Fourth Proportional to 83,219.88, 114,843.78 and 47,411.40

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Solution

The fourth proportional to 83,219.88, 114,843.78 and 47,411.40 is: 65,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,219.88 : 114,843.78 = 47,411.40 : x
  2. Step 2: Convert to fraction form
    83,219.88/114,843.78 = 47,411.40/x
  3. Step 3: Cross multiply
    83,219.88x = 114,843.78 × 47,411.40
  4. Step 4: Simplify right side
    83,219.88x = 5,444,904,391.09
  5. Step 5: Solve for x
    x = 5,444,904,391.09/83,219.88
  6. Step 6: Final answer
    x = 65,427.93

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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.