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Finding the Fourth Proportional to 128,468.64, 177,287.31 and 71,880

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Solution

The fourth proportional to 128,468.64, 177,287.31 and 71,880 is: 99,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,468.64 : 177,287.31 = 71,880 : x
  2. Step 2: Convert to fraction form
    128,468.64/177,287.31 = 71,880/x
  3. Step 3: Cross multiply
    128,468.64x = 177,287.31 × 71,880
  4. Step 4: Simplify right side
    128,468.64x = 12,743,411,842.80
  5. Step 5: Solve for x
    x = 12,743,411,842.80/128,468.64
  6. Step 6: Final answer
    x = 99,194.73

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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.