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Finding the Fourth Proportional to 171,520.36, 257,368.25 and 81,664.76

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Solution

The fourth proportional to 171,520.36, 257,368.25 and 81,664.76 is: 122,538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,520.36 : 257,368.25 = 81,664.76 : x
  2. Step 2: Convert to fraction form
    171,520.36/257,368.25 = 81,664.76/x
  3. Step 3: Cross multiply
    171,520.36x = 257,368.25 × 81,664.76
  4. Step 4: Simplify right side
    171,520.36x = 21,017,917,215.45
  5. Step 5: Solve for x
    x = 21,017,917,215.45/171,520.36
  6. Step 6: Final answer
    x = 122,538.91

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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.