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Finding the Fourth Proportional to 181,184, 250,063.76 and 100,637.60

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Solution

The fourth proportional to 181,184, 250,063.76 and 100,637.60 is: 138,896.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,184 : 250,063.76 = 100,637.60 : x
  2. Step 2: Convert to fraction form
    181,184/250,063.76 = 100,637.60/x
  3. Step 3: Cross multiply
    181,184x = 250,063.76 × 100,637.60
  4. Step 4: Simplify right side
    181,184x = 25,165,816,653.38
  5. Step 5: Solve for x
    x = 25,165,816,653.38/181,184
  6. Step 6: Final answer
    x = 138,896.46

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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.