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Finding the Fourth Proportional to 133,291.53, 199,086.06 and 120,621.65

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Solution

The fourth proportional to 133,291.53, 199,086.06 and 120,621.65 is: 180,162.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,291.53 : 199,086.06 = 120,621.65 : x
  2. Step 2: Convert to fraction form
    133,291.53/199,086.06 = 120,621.65/x
  3. Step 3: Cross multiply
    133,291.53x = 199,086.06 × 120,621.65
  4. Step 4: Simplify right side
    133,291.53x = 24,014,088,053.77
  5. Step 5: Solve for x
    x = 24,014,088,053.77/133,291.53
  6. Step 6: Final answer
    x = 180,162.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.