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Finding the Fourth Proportional to 128,559.23, 177,352.88 and 83,251.81

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Solution

The fourth proportional to 128,559.23, 177,352.88 and 83,251.81 is: 114,849.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,559.23 : 177,352.88 = 83,251.81 : x
  2. Step 2: Convert to fraction form
    128,559.23/177,352.88 = 83,251.81/x
  3. Step 3: Cross multiply
    128,559.23x = 177,352.88 × 83,251.81
  4. Step 4: Simplify right side
    128,559.23x = 14,764,947,575.34
  5. Step 5: Solve for x
    x = 14,764,947,575.34/128,559.23
  6. Step 6: Final answer
    x = 114,849.37

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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.