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Finding the Fourth Proportional to 135,957.69, 187,569.27 and 100,232.64

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Solution

The fourth proportional to 135,957.69, 187,569.27 and 100,232.64 is: 138,282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,957.69 : 187,569.27 = 100,232.64 : x
  2. Step 2: Convert to fraction form
    135,957.69/187,569.27 = 100,232.64/x
  3. Step 3: Cross multiply
    135,957.69x = 187,569.27 × 100,232.64
  4. Step 4: Simplify right side
    135,957.69x = 18,800,563,114.97
  5. Step 5: Solve for x
    x = 18,800,563,114.97/135,957.69
  6. Step 6: Final answer
    x = 138,282.45

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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.