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Finding the Fourth Proportional to 171,919.72, 257,935.61 and 86,486.48

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Solution

The fourth proportional to 171,919.72, 257,935.61 and 86,486.48 is: 129,757.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,919.72 : 257,935.61 = 86,486.48 : x
  2. Step 2: Convert to fraction form
    171,919.72/257,935.61 = 86,486.48/x
  3. Step 3: Cross multiply
    171,919.72x = 257,935.61 × 86,486.48
  4. Step 4: Simplify right side
    171,919.72x = 22,307,943,833.75
  5. Step 5: Solve for x
    x = 22,307,943,833.75/171,919.72
  6. Step 6: Final answer
    x = 129,757.91

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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.