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Finding the Fourth Proportional to 252,781.84, 348,857.31 and 145,385.56

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Solution

The fourth proportional to 252,781.84, 348,857.31 and 145,385.56 is: 200,642.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,781.84 : 348,857.31 = 145,385.56 : x
  2. Step 2: Convert to fraction form
    252,781.84/348,857.31 = 145,385.56/x
  3. Step 3: Cross multiply
    252,781.84x = 348,857.31 × 145,385.56
  4. Step 4: Simplify right side
    252,781.84x = 50,718,815,374.44
  5. Step 5: Solve for x
    x = 50,718,815,374.44/252,781.84
  6. Step 6: Final answer
    x = 200,642.64

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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.