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Finding the Fourth Proportional to 133,303.53, 200,005.81 and 80,032.71

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Solution

The fourth proportional to 133,303.53, 200,005.81 and 80,032.71 is: 120,079.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,303.53 : 200,005.81 = 80,032.71 : x
  2. Step 2: Convert to fraction form
    133,303.53/200,005.81 = 80,032.71/x
  3. Step 3: Cross multiply
    133,303.53x = 200,005.81 × 80,032.71
  4. Step 4: Simplify right side
    133,303.53x = 16,007,007,539.99
  5. Step 5: Solve for x
    x = 16,007,007,539.99/133,303.53
  6. Step 6: Final answer
    x = 120,079.39

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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.