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Finding the Fourth Proportional to 45,585, 68,409.90 and 17,883

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Solution

The fourth proportional to 45,585, 68,409.90 and 17,883 is: 26,837.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,585 : 68,409.90 = 17,883 : x
  2. Step 2: Convert to fraction form
    45,585/68,409.90 = 17,883/x
  3. Step 3: Cross multiply
    45,585x = 68,409.90 × 17,883
  4. Step 4: Simplify right side
    45,585x = 1,223,374,241.70
  5. Step 5: Solve for x
    x = 1,223,374,241.70/45,585
  6. Step 6: Final answer
    x = 26,837.21

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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.