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Finding the Fourth Proportional to 520,026, 780,039 and 126,042

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Solution

The fourth proportional to 520,026, 780,039 and 126,042 is: 189,063

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,026 : 780,039 = 126,042 : x
  2. Step 2: Convert to fraction form
    520,026/780,039 = 126,042/x
  3. Step 3: Cross multiply
    520,026x = 780,039 × 126,042
  4. Step 4: Simplify right side
    520,026x = 98,317,675,638
  5. Step 5: Solve for x
    x = 98,317,675,638/520,026
  6. Step 6: Final answer
    x = 189,063

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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.