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Finding the Fourth Proportional to 171,885.24, 257,834.76 and 81,881.68

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Solution

The fourth proportional to 171,885.24, 257,834.76 and 81,881.68 is: 122,825.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,885.24 : 257,834.76 = 81,881.68 : x
  2. Step 2: Convert to fraction form
    171,885.24/257,834.76 = 81,881.68/x
  3. Step 3: Cross multiply
    171,885.24x = 257,834.76 × 81,881.68
  4. Step 4: Simplify right side
    171,885.24x = 21,111,943,311.20
  5. Step 5: Solve for x
    x = 21,111,943,311.20/171,885.24
  6. Step 6: Final answer
    x = 122,825.81

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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.