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Finding the Fourth Proportional to 181,884.94, 250,988.31 and 100,209.58

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Solution

The fourth proportional to 181,884.94, 250,988.31 and 100,209.58 is: 138,282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,884.94 : 250,988.31 = 100,209.58 : x
  2. Step 2: Convert to fraction form
    181,884.94/250,988.31 = 100,209.58/x
  3. Step 3: Cross multiply
    181,884.94x = 250,988.31 × 100,209.58
  4. Step 4: Simplify right side
    181,884.94x = 25,151,433,130.01
  5. Step 5: Solve for x
    x = 25,151,433,130.01/181,884.94
  6. Step 6: Final answer
    x = 138,282.11

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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.