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Finding the Fourth Proportional to 211,751.60, 317,578.89 and 126,386.54

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Solution

The fourth proportional to 211,751.60, 317,578.89 and 126,386.54 is: 189,550.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,751.60 : 317,578.89 = 126,386.54 : x
  2. Step 2: Convert to fraction form
    211,751.60/317,578.89 = 126,386.54/x
  3. Step 3: Cross multiply
    211,751.60x = 317,578.89 × 126,386.54
  4. Step 4: Simplify right side
    211,751.60x = 40,137,697,084.14
  5. Step 5: Solve for x
    x = 40,137,697,084.14/211,751.60
  6. Step 6: Final answer
    x = 189,550.86

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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.