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Finding the Fourth Proportional to 207,781.58, 286,783.16 and 131,252

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Solution

The fourth proportional to 207,781.58, 286,783.16 and 131,252 is: 181,155.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,781.58 : 286,783.16 = 131,252 : x
  2. Step 2: Convert to fraction form
    207,781.58/286,783.16 = 131,252/x
  3. Step 3: Cross multiply
    207,781.58x = 286,783.16 × 131,252
  4. Step 4: Simplify right side
    207,781.58x = 37,640,863,316.32
  5. Step 5: Solve for x
    x = 37,640,863,316.32/207,781.58
  6. Step 6: Final answer
    x = 181,155.92

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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.