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Finding the Fourth Proportional to 171,030.02, 256,600.40 and 82,271.97

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Solution

The fourth proportional to 171,030.02, 256,600.40 and 82,271.97 is: 123,434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,030.02 : 256,600.40 = 82,271.97 : x
  2. Step 2: Convert to fraction form
    171,030.02/256,600.40 = 82,271.97/x
  3. Step 3: Cross multiply
    171,030.02x = 256,600.40 × 82,271.97
  4. Step 4: Simplify right side
    171,030.02x = 21,111,019,999.43
  5. Step 5: Solve for x
    x = 21,111,019,999.43/171,030.02
  6. Step 6: Final answer
    x = 123,434.59

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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.