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Finding the Fourth Proportional to 207,711.47, 311,567.21 and 49,939.93

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Solution

The fourth proportional to 207,711.47, 311,567.21 and 49,939.93 is: 74,909.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,711.47 : 311,567.21 = 49,939.93 : x
  2. Step 2: Convert to fraction form
    207,711.47/311,567.21 = 49,939.93/x
  3. Step 3: Cross multiply
    207,711.47x = 311,567.21 × 49,939.93
  4. Step 4: Simplify right side
    207,711.47x = 15,559,642,850.16
  5. Step 5: Solve for x
    x = 15,559,642,850.16/207,711.47
  6. Step 6: Final answer
    x = 74,909.89

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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.