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Finding the Fourth Proportional to 211,369.80, 317,096.12 and 78,251.16

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Solution

The fourth proportional to 211,369.80, 317,096.12 and 78,251.16 is: 117,392.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,369.80 : 317,096.12 = 78,251.16 : x
  2. Step 2: Convert to fraction form
    211,369.80/317,096.12 = 78,251.16/x
  3. Step 3: Cross multiply
    211,369.80x = 317,096.12 × 78,251.16
  4. Step 4: Simplify right side
    211,369.80x = 24,813,139,221.50
  5. Step 5: Solve for x
    x = 24,813,139,221.50/211,369.80
  6. Step 6: Final answer
    x = 117,392.07

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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.