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Finding the Fourth Proportional to 201,264.46, 301,878.18 and 68,129.50

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Solution

The fourth proportional to 201,264.46, 301,878.18 and 68,129.50 is: 102,187.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,264.46 : 301,878.18 = 68,129.50 : x
  2. Step 2: Convert to fraction form
    201,264.46/301,878.18 = 68,129.50/x
  3. Step 3: Cross multiply
    201,264.46x = 301,878.18 × 68,129.50
  4. Step 4: Simplify right side
    201,264.46x = 20,566,809,464.31
  5. Step 5: Solve for x
    x = 20,566,809,464.31/201,264.46
  6. Step 6: Final answer
    x = 102,187.98

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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.