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Finding the Fourth Proportional to 171,888.30, 257,832.45 and 72,021.78

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Solution

The fourth proportional to 171,888.30, 257,832.45 and 72,021.78 is: 108,032.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,888.30 : 257,832.45 = 72,021.78 : x
  2. Step 2: Convert to fraction form
    171,888.30/257,832.45 = 72,021.78/x
  3. Step 3: Cross multiply
    171,888.30x = 257,832.45 × 72,021.78
  4. Step 4: Simplify right side
    171,888.30x = 18,569,551,990.76
  5. Step 5: Solve for x
    x = 18,569,551,990.76/171,888.30
  6. Step 6: Final answer
    x = 108,032.67

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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.