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Finding the Fourth Proportional to 128,761.14, 177,688.47 and 71,400.54

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Solution

The fourth proportional to 128,761.14, 177,688.47 and 71,400.54 is: 98,531.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,761.14 : 177,688.47 = 71,400.54 : x
  2. Step 2: Convert to fraction form
    128,761.14/177,688.47 = 71,400.54/x
  3. Step 3: Cross multiply
    128,761.14x = 177,688.47 × 71,400.54
  4. Step 4: Simplify right side
    128,761.14x = 12,687,052,709.77
  5. Step 5: Solve for x
    x = 12,687,052,709.77/128,761.14
  6. Step 6: Final answer
    x = 98,531.69

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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.