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Finding the Fourth Proportional to 211,352.24, 316,829.90 and 71,012.72

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Solution

The fourth proportional to 211,352.24, 316,829.90 and 71,012.72 is: 106,452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,352.24 : 316,829.90 = 71,012.72 : x
  2. Step 2: Convert to fraction form
    211,352.24/316,829.90 = 71,012.72/x
  3. Step 3: Cross multiply
    211,352.24x = 316,829.90 × 71,012.72
  4. Step 4: Simplify right side
    211,352.24x = 22,498,952,976.33
  5. Step 5: Solve for x
    x = 22,498,952,976.33/211,352.24
  6. Step 6: Final answer
    x = 106,452.40

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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.