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Finding the Fourth Proportional to 181,405.22, 250,328.40 and 100,829.93

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Solution

The fourth proportional to 181,405.22, 250,328.40 and 100,829.93 is: 139,139.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,405.22 : 250,328.40 = 100,829.93 : x
  2. Step 2: Convert to fraction form
    181,405.22/250,328.40 = 100,829.93/x
  3. Step 3: Cross multiply
    181,405.22x = 250,328.40 × 100,829.93
  4. Step 4: Simplify right side
    181,405.22x = 25,240,595,049.01
  5. Step 5: Solve for x
    x = 25,240,595,049.01/181,405.22
  6. Step 6: Final answer
    x = 139,139.30

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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.