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Finding the Fourth Proportional to 211,778.68, 317,726.34 and 71,635.72

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Solution

The fourth proportional to 211,778.68, 317,726.34 and 71,635.72 is: 107,473.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,778.68 : 317,726.34 = 71,635.72 : x
  2. Step 2: Convert to fraction form
    211,778.68/317,726.34 = 71,635.72/x
  3. Step 3: Cross multiply
    211,778.68x = 317,726.34 × 71,635.72
  4. Step 4: Simplify right side
    211,778.68x = 22,760,555,128.86
  5. Step 5: Solve for x
    x = 22,760,555,128.86/211,778.68
  6. Step 6: Final answer
    x = 107,473.31

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1.5x scale

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.