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Finding the Fourth Proportional to 211,580.34, 317,371.68 and 53,808.90

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Solution

The fourth proportional to 211,580.34, 317,371.68 and 53,808.90 is: 80,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,580.34 : 317,371.68 = 53,808.90 : x
  2. Step 2: Convert to fraction form
    211,580.34/317,371.68 = 53,808.90/x
  3. Step 3: Cross multiply
    211,580.34x = 317,371.68 × 53,808.90
  4. Step 4: Simplify right side
    211,580.34x = 17,077,420,991.95
  5. Step 5: Solve for x
    x = 17,077,420,991.95/211,580.34
  6. Step 6: Final answer
    x = 80,713.65

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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.