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Finding the Fourth Proportional to 207,408, 311,158.08 and 76,080

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Solution

The fourth proportional to 207,408, 311,158.08 and 76,080 is: 114,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,408 : 311,158.08 = 76,080 : x
  2. Step 2: Convert to fraction form
    207,408/311,158.08 = 76,080/x
  3. Step 3: Cross multiply
    207,408x = 311,158.08 × 76,080
  4. Step 4: Simplify right side
    207,408x = 23,672,906,726.40
  5. Step 5: Solve for x
    x = 23,672,906,726.40/207,408
  6. Step 6: Final answer
    x = 114,136.90

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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.