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Finding the Fourth Proportional to 311,135, 466,702.50 and 89,519

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Solution

The fourth proportional to 311,135, 466,702.50 and 89,519 is: 134,278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,135 : 466,702.50 = 89,519 : x
  2. Step 2: Convert to fraction form
    311,135/466,702.50 = 89,519/x
  3. Step 3: Cross multiply
    311,135x = 466,702.50 × 89,519
  4. Step 4: Simplify right side
    311,135x = 41,778,741,097.50
  5. Step 5: Solve for x
    x = 41,778,741,097.50/311,135
  6. Step 6: Final answer
    x = 134,278.50

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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.