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Finding the Fourth Proportional to 211,451.74, 317,146.74 and 61,651.78

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Solution

The fourth proportional to 211,451.74, 317,146.74 and 61,651.78 is: 92,468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,451.74 : 317,146.74 = 61,651.78 : x
  2. Step 2: Convert to fraction form
    211,451.74/317,146.74 = 61,651.78/x
  3. Step 3: Cross multiply
    211,451.74x = 317,146.74 × 61,651.78
  4. Step 4: Simplify right side
    211,451.74x = 19,552,661,042.20
  5. Step 5: Solve for x
    x = 19,552,661,042.20/211,451.74
  6. Step 6: Final answer
    x = 92,468.67

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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.