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Finding the Fourth Proportional to 123,786.91, 185,678.29 and 39,546.46

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Solution

The fourth proportional to 123,786.91, 185,678.29 and 39,546.46 is: 59,319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,786.91 : 185,678.29 = 39,546.46 : x
  2. Step 2: Convert to fraction form
    123,786.91/185,678.29 = 39,546.46/x
  3. Step 3: Cross multiply
    123,786.91x = 185,678.29 × 39,546.46
  4. Step 4: Simplify right side
    123,786.91x = 7,342,919,068.35
  5. Step 5: Solve for x
    x = 7,342,919,068.35/123,786.91
  6. Step 6: Final answer
    x = 59,319.03

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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.