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Finding the Fourth Proportional to 45,486, 68,231.43 and 14,323.68

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Solution

The fourth proportional to 45,486, 68,231.43 and 14,323.68 is: 21,486.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,486 : 68,231.43 = 14,323.68 : x
  2. Step 2: Convert to fraction form
    45,486/68,231.43 = 14,323.68/x
  3. Step 3: Cross multiply
    45,486x = 68,231.43 × 14,323.68
  4. Step 4: Simplify right side
    45,486x = 977,325,169.26
  5. Step 5: Solve for x
    x = 977,325,169.26/45,486
  6. Step 6: Final answer
    x = 21,486.29

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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.