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Finding the Fourth Proportional to 128,889, 177,866.42 and 71,536.97

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Solution

The fourth proportional to 128,889, 177,866.42 and 71,536.97 is: 98,720.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,889 : 177,866.42 = 71,536.97 : x
  2. Step 2: Convert to fraction form
    128,889/177,866.42 = 71,536.97/x
  3. Step 3: Cross multiply
    128,889x = 177,866.42 × 71,536.97
  4. Step 4: Simplify right side
    128,889x = 12,724,023,504.53
  5. Step 5: Solve for x
    x = 12,724,023,504.53/128,889
  6. Step 6: Final answer
    x = 98,720.79

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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.