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Finding the Fourth Proportional to 207,908.78, 286,912.73 and 117,265.50

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Solution

The fourth proportional to 207,908.78, 286,912.73 and 117,265.50 is: 161,825.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,908.78 : 286,912.73 = 117,265.50 : x
  2. Step 2: Convert to fraction form
    207,908.78/286,912.73 = 117,265.50/x
  3. Step 3: Cross multiply
    207,908.78x = 286,912.73 × 117,265.50
  4. Step 4: Simplify right side
    207,908.78x = 33,644,962,718.92
  5. Step 5: Solve for x
    x = 33,644,962,718.92/207,908.78
  6. Step 6: Final answer
    x = 161,825.60

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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.