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Finding the Fourth Proportional to 279,137.52, 385,309.98 and 165,960

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Solution

The fourth proportional to 279,137.52, 385,309.98 and 165,960 is: 229,084.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,137.52 : 385,309.98 = 165,960 : x
  2. Step 2: Convert to fraction form
    279,137.52/385,309.98 = 165,960/x
  3. Step 3: Cross multiply
    279,137.52x = 385,309.98 × 165,960
  4. Step 4: Simplify right side
    279,137.52x = 63,946,044,280.80
  5. Step 5: Solve for x
    x = 63,946,044,280.80/279,137.52
  6. Step 6: Final answer
    x = 229,084.37

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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.