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Finding the Fourth Proportional to 211,997.76, 317,799 and 71,658.84

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Solution

The fourth proportional to 211,997.76, 317,799 and 71,658.84 is: 107,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,997.76 : 317,799 = 71,658.84 : x
  2. Step 2: Convert to fraction form
    211,997.76/317,799 = 71,658.84/x
  3. Step 3: Cross multiply
    211,997.76x = 317,799 × 71,658.84
  4. Step 4: Simplify right side
    211,997.76x = 22,773,107,693.16
  5. Step 5: Solve for x
    x = 22,773,107,693.16/211,997.76
  6. Step 6: Final answer
    x = 107,421.45

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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.