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Finding the Fourth Proportional to 207,894.85, 286,771.06 and 131,278.78

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Solution

The fourth proportional to 207,894.85, 286,771.06 and 131,278.78 is: 181,086.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,894.85 : 286,771.06 = 131,278.78 : x
  2. Step 2: Convert to fraction form
    207,894.85/286,771.06 = 131,278.78/x
  3. Step 3: Cross multiply
    207,894.85x = 286,771.06 × 131,278.78
  4. Step 4: Simplify right side
    207,894.85x = 37,646,953,436.36
  5. Step 5: Solve for x
    x = 37,646,953,436.36/207,894.85
  6. Step 6: Final answer
    x = 181,086.51

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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.