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Finding the Fourth Proportional to 211,805.80, 317,622.30 and 71,492.20

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Solution

The fourth proportional to 211,805.80, 317,622.30 and 71,492.20 is: 107,209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,805.80 : 317,622.30 = 71,492.20 : x
  2. Step 2: Convert to fraction form
    211,805.80/317,622.30 = 71,492.20/x
  3. Step 3: Cross multiply
    211,805.80x = 317,622.30 × 71,492.20
  4. Step 4: Simplify right side
    211,805.80x = 22,707,516,996.06
  5. Step 5: Solve for x
    x = 22,707,516,996.06/211,805.80
  6. Step 6: Final answer
    x = 107,209.14

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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.