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Finding the Fourth Proportional to 205,056, 282,988.22 and 120,200.40

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Solution

The fourth proportional to 205,056, 282,988.22 and 120,200.40 is: 165,882.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,056 : 282,988.22 = 120,200.40 : x
  2. Step 2: Convert to fraction form
    205,056/282,988.22 = 120,200.40/x
  3. Step 3: Cross multiply
    205,056x = 282,988.22 × 120,200.40
  4. Step 4: Simplify right side
    205,056x = 34,015,296,638.29
  5. Step 5: Solve for x
    x = 34,015,296,638.29/205,056
  6. Step 6: Final answer
    x = 165,882.96

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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.