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Finding the Fourth Proportional to 128,471.62, 177,295.77 and 71,881.78

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Solution

The fourth proportional to 128,471.62, 177,295.77 and 71,881.78 is: 99,199.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,471.62 : 177,295.77 = 71,881.78 : x
  2. Step 2: Convert to fraction form
    128,471.62/177,295.77 = 71,881.78/x
  3. Step 3: Cross multiply
    128,471.62x = 177,295.77 × 71,881.78
  4. Step 4: Simplify right side
    128,471.62x = 12,744,335,534.07
  5. Step 5: Solve for x
    x = 12,744,335,534.07/128,471.62
  6. Step 6: Final answer
    x = 99,199.62

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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.