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Finding the Fourth Proportional to 211,806.80, 317,623.80 and 71,493.20

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Solution

The fourth proportional to 211,806.80, 317,623.80 and 71,493.20 is: 107,210.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,806.80 : 317,623.80 = 71,493.20 : x
  2. Step 2: Convert to fraction form
    211,806.80/317,623.80 = 71,493.20/x
  3. Step 3: Cross multiply
    211,806.80x = 317,623.80 × 71,493.20
  4. Step 4: Simplify right side
    211,806.80x = 22,707,941,858.16
  5. Step 5: Solve for x
    x = 22,707,941,858.16/211,806.80
  6. Step 6: Final answer
    x = 107,210.64

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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.