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Finding the Fourth Proportional to 171,921.96, 257,870.77 and 45,559.41

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Solution

The fourth proportional to 171,921.96, 257,870.77 and 45,559.41 is: 68,335.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,921.96 : 257,870.77 = 45,559.41 : x
  2. Step 2: Convert to fraction form
    171,921.96/257,870.77 = 45,559.41/x
  3. Step 3: Cross multiply
    171,921.96x = 257,870.77 × 45,559.41
  4. Step 4: Simplify right side
    171,921.96x = 11,748,440,137.45
  5. Step 5: Solve for x
    x = 11,748,440,137.45/171,921.96
  6. Step 6: Final answer
    x = 68,335.89

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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.