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Finding the Fourth Proportional to 45,992.96, 68,977.08 and 12,705.20

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Solution

The fourth proportional to 45,992.96, 68,977.08 and 12,705.20 is: 19,054.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,992.96 : 68,977.08 = 12,705.20 : x
  2. Step 2: Convert to fraction form
    45,992.96/68,977.08 = 12,705.20/x
  3. Step 3: Cross multiply
    45,992.96x = 68,977.08 × 12,705.20
  4. Step 4: Simplify right side
    45,992.96x = 876,367,596.82
  5. Step 5: Solve for x
    x = 876,367,596.82/45,992.96
  6. Step 6: Final answer
    x = 19,054.39

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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.