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Finding the Fourth Proportional to 128,436, 177,241.68 and 83,724

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Solution

The fourth proportional to 128,436, 177,241.68 and 83,724 is: 115,539.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,436 : 177,241.68 = 83,724 : x
  2. Step 2: Convert to fraction form
    128,436/177,241.68 = 83,724/x
  3. Step 3: Cross multiply
    128,436x = 177,241.68 × 83,724
  4. Step 4: Simplify right side
    128,436x = 14,839,382,416.32
  5. Step 5: Solve for x
    x = 14,839,382,416.32/128,436
  6. Step 6: Final answer
    x = 115,539.12

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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.