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Finding the Fourth Proportional to 133,315.88, 200,024.38 and 80,045.08

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Solution

The fourth proportional to 133,315.88, 200,024.38 and 80,045.08 is: 120,097.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,315.88 : 200,024.38 = 80,045.08 : x
  2. Step 2: Convert to fraction form
    133,315.88/200,024.38 = 80,045.08/x
  3. Step 3: Cross multiply
    133,315.88x = 200,024.38 × 80,045.08
  4. Step 4: Simplify right side
    133,315.88x = 16,010,967,499.05
  5. Step 5: Solve for x
    x = 16,010,967,499.05/133,315.88
  6. Step 6: Final answer
    x = 120,097.98

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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.