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Finding the Fourth Proportional to 128,809.50, 177,723.44 and 74,348.34

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Solution

The fourth proportional to 128,809.50, 177,723.44 and 74,348.34 is: 102,581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,809.50 : 177,723.44 = 74,348.34 : x
  2. Step 2: Convert to fraction form
    128,809.50/177,723.44 = 74,348.34/x
  3. Step 3: Cross multiply
    128,809.50x = 177,723.44 × 74,348.34
  4. Step 4: Simplify right side
    128,809.50x = 13,213,442,743.09
  5. Step 5: Solve for x
    x = 13,213,442,743.09/128,809.50
  6. Step 6: Final answer
    x = 102,581.28

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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.