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Finding the Fourth Proportional to 128,769.58, 177,720.24 and 71,421.58

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Solution

The fourth proportional to 128,769.58, 177,720.24 and 71,421.58 is: 98,571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,769.58 : 177,720.24 = 71,421.58 : x
  2. Step 2: Convert to fraction form
    128,769.58/177,720.24 = 71,421.58/x
  3. Step 3: Cross multiply
    128,769.58x = 177,720.24 × 71,421.58
  4. Step 4: Simplify right side
    128,769.58x = 12,693,060,338.78
  5. Step 5: Solve for x
    x = 12,693,060,338.78/128,769.58
  6. Step 6: Final answer
    x = 98,571.89

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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.