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Finding the Fourth Proportional to 207,729, 311,561.91 and 57,953.52

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Solution

The fourth proportional to 207,729, 311,561.91 and 57,953.52 is: 86,921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,729 : 311,561.91 = 57,953.52 : x
  2. Step 2: Convert to fraction form
    207,729/311,561.91 = 57,953.52/x
  3. Step 3: Cross multiply
    207,729x = 311,561.91 × 57,953.52
  4. Step 4: Simplify right side
    207,729x = 18,056,109,382.42
  5. Step 5: Solve for x
    x = 18,056,109,382.42/207,729
  6. Step 6: Final answer
    x = 86,921.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.