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Finding the Fourth Proportional to 171,118.68, 256,464.18 and 82,348.35

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Solution

The fourth proportional to 171,118.68, 256,464.18 and 82,348.35 is: 123,419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,118.68 : 256,464.18 = 82,348.35 : x
  2. Step 2: Convert to fraction form
    171,118.68/256,464.18 = 82,348.35/x
  3. Step 3: Cross multiply
    171,118.68x = 256,464.18 × 82,348.35
  4. Step 4: Simplify right side
    171,118.68x = 21,119,402,057.10
  5. Step 5: Solve for x
    x = 21,119,402,057.10/171,118.68
  6. Step 6: Final answer
    x = 123,419.62

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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.