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Finding the Fourth Proportional to 211,813.20, 317,719.80 and 71,569.80

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Solution

The fourth proportional to 211,813.20, 317,719.80 and 71,569.80 is: 107,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,813.20 : 317,719.80 = 71,569.80 : x
  2. Step 2: Convert to fraction form
    211,813.20/317,719.80 = 71,569.80/x
  3. Step 3: Cross multiply
    211,813.20x = 317,719.80 × 71,569.80
  4. Step 4: Simplify right side
    211,813.20x = 22,739,142,542.04
  5. Step 5: Solve for x
    x = 22,739,142,542.04/211,813.20
  6. Step 6: Final answer
    x = 107,354.70

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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.