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Finding the Fourth Proportional to 211,510, 317,230.96 and 61,715.12

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Solution

The fourth proportional to 211,510, 317,230.96 and 61,715.12 is: 92,562.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,510 : 317,230.96 = 61,715.12 : x
  2. Step 2: Convert to fraction form
    211,510/317,230.96 = 61,715.12/x
  3. Step 3: Cross multiply
    211,510x = 317,230.96 × 61,715.12
  4. Step 4: Simplify right side
    211,510x = 19,577,946,764.12
  5. Step 5: Solve for x
    x = 19,577,946,764.12/211,510
  6. Step 6: Final answer
    x = 92,562.75

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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.