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Finding the Fourth Proportional to 211,604.16, 317,530.37 and 78,576.78

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Solution

The fourth proportional to 211,604.16, 317,530.37 and 78,576.78 is: 117,911.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,604.16 : 317,530.37 = 78,576.78 : x
  2. Step 2: Convert to fraction form
    211,604.16/317,530.37 = 78,576.78/x
  3. Step 3: Cross multiply
    211,604.16x = 317,530.37 × 78,576.78
  4. Step 4: Simplify right side
    211,604.16x = 24,950,514,026.81
  5. Step 5: Solve for x
    x = 24,950,514,026.81/211,604.16
  6. Step 6: Final answer
    x = 117,911.26

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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.