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Finding the Fourth Proportional to 192,378.30, 288,581.96 and 57,431.72

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Solution

The fourth proportional to 192,378.30, 288,581.96 and 57,431.72 is: 86,151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,378.30 : 288,581.96 = 57,431.72 : x
  2. Step 2: Convert to fraction form
    192,378.30/288,581.96 = 57,431.72/x
  3. Step 3: Cross multiply
    192,378.30x = 288,581.96 × 57,431.72
  4. Step 4: Simplify right side
    192,378.30x = 16,573,758,323.77
  5. Step 5: Solve for x
    x = 16,573,758,323.77/192,378.30
  6. Step 6: Final answer
    x = 86,151.91

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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.