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Finding the Fourth Proportional to 45,873.78, 68,820.54 and 14,283.18

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Solution

The fourth proportional to 45,873.78, 68,820.54 and 14,283.18 is: 21,427.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,873.78 : 68,820.54 = 14,283.18 : x
  2. Step 2: Convert to fraction form
    45,873.78/68,820.54 = 14,283.18/x
  3. Step 3: Cross multiply
    45,873.78x = 68,820.54 × 14,283.18
  4. Step 4: Simplify right side
    45,873.78x = 982,976,160.52
  5. Step 5: Solve for x
    x = 982,976,160.52/45,873.78
  6. Step 6: Final answer
    x = 21,427.84

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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.