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Finding the Fourth Proportional to 123,647.64, 185,467.98 and 39,412.85

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Solution

The fourth proportional to 123,647.64, 185,467.98 and 39,412.85 is: 59,118.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,647.64 : 185,467.98 = 39,412.85 : x
  2. Step 2: Convert to fraction form
    123,647.64/185,467.98 = 39,412.85/x
  3. Step 3: Cross multiply
    123,647.64x = 185,467.98 × 39,412.85
  4. Step 4: Simplify right side
    123,647.64x = 7,309,821,675.54
  5. Step 5: Solve for x
    x = 7,309,821,675.54/123,647.64
  6. Step 6: Final answer
    x = 59,118.17

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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.