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Finding the Fourth Proportional to 45,445.84, 68,078 and 36,101.68

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Solution

The fourth proportional to 45,445.84, 68,078 and 36,101.68 is: 54,080.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,445.84 : 68,078 = 36,101.68 : x
  2. Step 2: Convert to fraction form
    45,445.84/68,078 = 36,101.68/x
  3. Step 3: Cross multiply
    45,445.84x = 68,078 × 36,101.68
  4. Step 4: Simplify right side
    45,445.84x = 2,457,730,171.04
  5. Step 5: Solve for x
    x = 2,457,730,171.04/45,445.84
  6. Step 6: Final answer
    x = 54,080.42

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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.