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Finding the Fourth Proportional to 312,137.12, 468,205.04 and 101,774.88

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Solution

The fourth proportional to 312,137.12, 468,205.04 and 101,774.88 is: 152,662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,137.12 : 468,205.04 = 101,774.88 : x
  2. Step 2: Convert to fraction form
    312,137.12/468,205.04 = 101,774.88/x
  3. Step 3: Cross multiply
    312,137.12x = 468,205.04 × 101,774.88
  4. Step 4: Simplify right side
    312,137.12x = 47,651,511,761.40
  5. Step 5: Solve for x
    x = 47,651,511,761.40/312,137.12
  6. Step 6: Final answer
    x = 152,662.11

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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.