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Finding the Fourth Proportional to 211,429,266.80, 317,049,421.80 and 81,993,858.80

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Solution

The fourth proportional to 211,429,266.80, 317,049,421.80 and 81,993,858.80 is: 122,954,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,429,266.80 : 317,049,421.80 = 81,993,858.80 : x
  2. Step 2: Convert to fraction form
    211,429,266.80/317,049,421.80 = 81,993,858.80/x
  3. Step 3: Cross multiply
    211,429,266.80x = 317,049,421.80 × 81,993,858.80
  4. Step 4: Simplify right side
    211,429,266.80x = 25,996,105,523,690,840
  5. Step 5: Solve for x
    x = 25,996,105,523,690,840/211,429,266.80
  6. Step 6: Final answer
    x = 122,954,148.77

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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.