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Finding the Fourth Proportional to 202,204, 279,041.52 and 112,780

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Solution

The fourth proportional to 202,204, 279,041.52 and 112,780 is: 155,636.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,204 : 279,041.52 = 112,780 : x
  2. Step 2: Convert to fraction form
    202,204/279,041.52 = 112,780/x
  3. Step 3: Cross multiply
    202,204x = 279,041.52 × 112,780
  4. Step 4: Simplify right side
    202,204x = 31,470,302,625.60
  5. Step 5: Solve for x
    x = 31,470,302,625.60/202,204
  6. Step 6: Final answer
    x = 155,636.40

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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.