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Finding the Fourth Proportional to 120,994.81, 181,242.53 and 70,922.86

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Solution

The fourth proportional to 120,994.81, 181,242.53 and 70,922.86 is: 106,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,994.81 : 181,242.53 = 70,922.86 : x
  2. Step 2: Convert to fraction form
    120,994.81/181,242.53 = 70,922.86/x
  3. Step 3: Cross multiply
    120,994.81x = 181,242.53 × 70,922.86
  4. Step 4: Simplify right side
    120,994.81x = 12,854,237,320.41
  5. Step 5: Solve for x
    x = 12,854,237,320.41/120,994.81
  6. Step 6: Final answer
    x = 106,237.93

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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.