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Finding the Fourth Proportional to 202,072.04, 278,978.88 and 179,654

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Solution

The fourth proportional to 202,072.04, 278,978.88 and 179,654 is: 248,028.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,072.04 : 278,978.88 = 179,654 : x
  2. Step 2: Convert to fraction form
    202,072.04/278,978.88 = 179,654/x
  3. Step 3: Cross multiply
    202,072.04x = 278,978.88 × 179,654
  4. Step 4: Simplify right side
    202,072.04x = 50,119,671,707.52
  5. Step 5: Solve for x
    x = 50,119,671,707.52/202,072.04
  6. Step 6: Final answer
    x = 248,028.73

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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.