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Finding the Fourth Proportional to 252,710.12, 378,938.39 and 84,171.17

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Solution

The fourth proportional to 252,710.12, 378,938.39 and 84,171.17 is: 126,214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,710.12 : 378,938.39 = 84,171.17 : x
  2. Step 2: Convert to fraction form
    252,710.12/378,938.39 = 84,171.17/x
  3. Step 3: Cross multiply
    252,710.12x = 378,938.39 × 84,171.17
  4. Step 4: Simplify right side
    252,710.12x = 31,895,685,328.67
  5. Step 5: Solve for x
    x = 31,895,685,328.67/252,710.12
  6. Step 6: Final answer
    x = 126,214.52

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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.