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Finding the Fourth Proportional to 45,784.48, 68,705.60 and 19,489.20

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Solution

The fourth proportional to 45,784.48, 68,705.60 and 19,489.20 is: 29,246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,784.48 : 68,705.60 = 19,489.20 : x
  2. Step 2: Convert to fraction form
    45,784.48/68,705.60 = 19,489.20/x
  3. Step 3: Cross multiply
    45,784.48x = 68,705.60 × 19,489.20
  4. Step 4: Simplify right side
    45,784.48x = 1,339,017,179.52
  5. Step 5: Solve for x
    x = 1,339,017,179.52/45,784.48
  6. Step 6: Final answer
    x = 29,246.09

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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.