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Finding the Fourth Proportional to 171,559.18, 257,391.69 and 76,869.10

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Solution

The fourth proportional to 171,559.18, 257,391.69 and 76,869.10 is: 115,327.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,559.18 : 257,391.69 = 76,869.10 : x
  2. Step 2: Convert to fraction form
    171,559.18/257,391.69 = 76,869.10/x
  3. Step 3: Cross multiply
    171,559.18x = 257,391.69 × 76,869.10
  4. Step 4: Simplify right side
    171,559.18x = 19,785,467,557.78
  5. Step 5: Solve for x
    x = 19,785,467,557.78/171,559.18
  6. Step 6: Final answer
    x = 115,327.36

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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.