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Finding the Fourth Proportional to 211,874.40, 317,810.64 and 71,729.76

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Solution

The fourth proportional to 211,874.40, 317,810.64 and 71,729.76 is: 107,594.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,874.40 : 317,810.64 = 71,729.76 : x
  2. Step 2: Convert to fraction form
    211,874.40/317,810.64 = 71,729.76/x
  3. Step 3: Cross multiply
    211,874.40x = 317,810.64 × 71,729.76
  4. Step 4: Simplify right side
    211,874.40x = 22,796,480,932.65
  5. Step 5: Solve for x
    x = 22,796,480,932.65/211,874.40
  6. Step 6: Final answer
    x = 107,594.31

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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.