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Finding the Fourth Proportional to 83,641, 115,446.70 and 51,791.80

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Solution

The fourth proportional to 83,641, 115,446.70 and 51,791.80 is: 71,486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,641 : 115,446.70 = 51,791.80 : x
  2. Step 2: Convert to fraction form
    83,641/115,446.70 = 51,791.80/x
  3. Step 3: Cross multiply
    83,641x = 115,446.70 × 51,791.80
  4. Step 4: Simplify right side
    83,641x = 5,979,192,397.06
  5. Step 5: Solve for x
    x = 5,979,192,397.06/83,641
  6. Step 6: Final answer
    x = 71,486.38

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1.5x scale

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.