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Finding the Fourth Proportional to 80,490, 120,741.66 and 25,086

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Solution

The fourth proportional to 80,490, 120,741.66 and 25,086 is: 37,631.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,490 : 120,741.66 = 25,086 : x
  2. Step 2: Convert to fraction form
    80,490/120,741.66 = 25,086/x
  3. Step 3: Cross multiply
    80,490x = 120,741.66 × 25,086
  4. Step 4: Simplify right side
    80,490x = 3,028,925,282.76
  5. Step 5: Solve for x
    x = 3,028,925,282.76/80,490
  6. Step 6: Final answer
    x = 37,631.08

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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.