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Finding the Fourth Proportional to 181,405.86, 250,322.67 and 100,828.58

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Solution

The fourth proportional to 181,405.86, 250,322.67 and 100,828.58 is: 139,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,405.86 : 250,322.67 = 100,828.58 : x
  2. Step 2: Convert to fraction form
    181,405.86/250,322.67 = 100,828.58/x
  3. Step 3: Cross multiply
    181,405.86x = 250,322.67 × 100,828.58
  4. Step 4: Simplify right side
    181,405.86x = 25,239,678,106.30
  5. Step 5: Solve for x
    x = 25,239,678,106.30/181,405.86
  6. Step 6: Final answer
    x = 139,133.75

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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.