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Finding the Fourth Proportional to 209,585.82, 314,375.61 and 51,814.23

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Solution

The fourth proportional to 209,585.82, 314,375.61 and 51,814.23 is: 77,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,585.82 : 314,375.61 = 51,814.23 : x
  2. Step 2: Convert to fraction form
    209,585.82/314,375.61 = 51,814.23/x
  3. Step 3: Cross multiply
    209,585.82x = 314,375.61 × 51,814.23
  4. Step 4: Simplify right side
    209,585.82x = 16,289,130,162.93
  5. Step 5: Solve for x
    x = 16,289,130,162.93/209,585.82
  6. Step 6: Final answer
    x = 77,720.57

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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.