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Finding the Fourth Proportional to 72,881.53, 109,297.84 and 27,892.40

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Solution

The fourth proportional to 72,881.53, 109,297.84 and 27,892.40 is: 41,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,881.53 : 109,297.84 = 27,892.40 : x
  2. Step 2: Convert to fraction form
    72,881.53/109,297.84 = 27,892.40/x
  3. Step 3: Cross multiply
    72,881.53x = 109,297.84 × 27,892.40
  4. Step 4: Simplify right side
    72,881.53x = 3,048,579,072.42
  5. Step 5: Solve for x
    x = 3,048,579,072.42/72,881.53
  6. Step 6: Final answer
    x = 41,829.24

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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.