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Finding the Fourth Proportional to 39,242.84, 54,154 and 22,248.64

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Solution

The fourth proportional to 39,242.84, 54,154 and 22,248.64 is: 30,702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,242.84 : 54,154 = 22,248.64 : x
  2. Step 2: Convert to fraction form
    39,242.84/54,154 = 22,248.64/x
  3. Step 3: Cross multiply
    39,242.84x = 54,154 × 22,248.64
  4. Step 4: Simplify right side
    39,242.84x = 1,204,852,850.56
  5. Step 5: Solve for x
    x = 1,204,852,850.56/39,242.84
  6. Step 6: Final answer
    x = 30,702.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.