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Finding the Fourth Proportional to 206,950.84, 310,426.14 and 55,147.98

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Solution

The fourth proportional to 206,950.84, 310,426.14 and 55,147.98 is: 82,721.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,950.84 : 310,426.14 = 55,147.98 : x
  2. Step 2: Convert to fraction form
    206,950.84/310,426.14 = 55,147.98/x
  3. Step 3: Cross multiply
    206,950.84x = 310,426.14 × 55,147.98
  4. Step 4: Simplify right side
    206,950.84x = 17,119,374,560.20
  5. Step 5: Solve for x
    x = 17,119,374,560.20/206,950.84
  6. Step 6: Final answer
    x = 82,721.94

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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.