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Finding the Fourth Proportional to 286,077.12, 394,790.72 and 158,760.96

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Solution

The fourth proportional to 286,077.12, 394,790.72 and 158,760.96 is: 219,092.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,077.12 : 394,790.72 = 158,760.96 : x
  2. Step 2: Convert to fraction form
    286,077.12/394,790.72 = 158,760.96/x
  3. Step 3: Cross multiply
    286,077.12x = 394,790.72 × 158,760.96
  4. Step 4: Simplify right side
    286,077.12x = 62,677,353,706.29
  5. Step 5: Solve for x
    x = 62,677,353,706.29/286,077.12
  6. Step 6: Final answer
    x = 219,092.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.