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Finding the Fourth Proportional to 207,436.92, 286,268.74 and 126,863

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Solution

The fourth proportional to 207,436.92, 286,268.74 and 126,863 is: 175,074.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,436.92 : 286,268.74 = 126,863 : x
  2. Step 2: Convert to fraction form
    207,436.92/286,268.74 = 126,863/x
  3. Step 3: Cross multiply
    207,436.92x = 286,268.74 × 126,863
  4. Step 4: Simplify right side
    207,436.92x = 36,316,911,162.62
  5. Step 5: Solve for x
    x = 36,316,911,162.62/207,436.92
  6. Step 6: Final answer
    x = 175,074.48

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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.