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Finding the Fourth Proportional to 120,751.81, 181,128.34 and 70,796.87

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Solution

The fourth proportional to 120,751.81, 181,128.34 and 70,796.87 is: 106,195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,751.81 : 181,128.34 = 70,796.87 : x
  2. Step 2: Convert to fraction form
    120,751.81/181,128.34 = 70,796.87/x
  3. Step 3: Cross multiply
    120,751.81x = 181,128.34 × 70,796.87
  4. Step 4: Simplify right side
    120,751.81x = 12,823,320,421.23
  5. Step 5: Solve for x
    x = 12,823,320,421.23/120,751.81
  6. Step 6: Final answer
    x = 106,195.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.