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Finding the Fourth Proportional to 120,995.81, 181,244.02 and 70,923.86

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Solution

The fourth proportional to 120,995.81, 181,244.02 and 70,923.86 is: 106,239.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,995.81 : 181,244.02 = 70,923.86 : x
  2. Step 2: Convert to fraction form
    120,995.81/181,244.02 = 70,923.86/x
  3. Step 3: Cross multiply
    120,995.81x = 181,244.02 × 70,923.86
  4. Step 4: Simplify right side
    120,995.81x = 12,854,525,500.32
  5. Step 5: Solve for x
    x = 12,854,525,500.32/120,995.81
  6. Step 6: Final answer
    x = 106,239.43

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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.