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Finding the Fourth Proportional to 171,113.68, 256,456.68 and 82,343.35

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Solution

The fourth proportional to 171,113.68, 256,456.68 and 82,343.35 is: 123,412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,113.68 : 256,456.68 = 82,343.35 : x
  2. Step 2: Convert to fraction form
    171,113.68/256,456.68 = 82,343.35/x
  3. Step 3: Cross multiply
    171,113.68x = 256,456.68 × 82,343.35
  4. Step 4: Simplify right side
    171,113.68x = 21,117,502,161.08
  5. Step 5: Solve for x
    x = 21,117,502,161.08/171,113.68
  6. Step 6: Final answer
    x = 123,412.12

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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.