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Finding the Fourth Proportional to 207,507.69, 311,541.40 and 132,773.72

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Solution

The fourth proportional to 207,507.69, 311,541.40 and 132,773.72 is: 199,339.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,507.69 : 311,541.40 = 132,773.72 : x
  2. Step 2: Convert to fraction form
    207,507.69/311,541.40 = 132,773.72/x
  3. Step 3: Cross multiply
    207,507.69x = 311,541.40 × 132,773.72
  4. Step 4: Simplify right side
    207,507.69x = 41,364,509,890.65
  5. Step 5: Solve for x
    x = 41,364,509,890.65/207,507.69
  6. Step 6: Final answer
    x = 199,339.64

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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.