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Finding the Fourth Proportional to 211,926.30, 317,691.81 and 71,586.78

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Solution

The fourth proportional to 211,926.30, 317,691.81 and 71,586.78 is: 107,313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,926.30 : 317,691.81 = 71,586.78 : x
  2. Step 2: Convert to fraction form
    211,926.30/317,691.81 = 71,586.78/x
  3. Step 3: Cross multiply
    211,926.30x = 317,691.81 × 71,586.78
  4. Step 4: Simplify right side
    211,926.30x = 22,742,533,710.27
  5. Step 5: Solve for x
    x = 22,742,533,710.27/211,926.30
  6. Step 6: Final answer
    x = 107,313.41

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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.