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Finding the Fourth Proportional to 211,356.72, 317,070.72 and 71,082

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Solution

The fourth proportional to 211,356.72, 317,070.72 and 71,082 is: 106,634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,356.72 : 317,070.72 = 71,082 : x
  2. Step 2: Convert to fraction form
    211,356.72/317,070.72 = 71,082/x
  3. Step 3: Cross multiply
    211,356.72x = 317,070.72 × 71,082
  4. Step 4: Simplify right side
    211,356.72x = 22,538,020,919.04
  5. Step 5: Solve for x
    x = 22,538,020,919.04/211,356.72
  6. Step 6: Final answer
    x = 106,634.99

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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.