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Finding the Fourth Proportional to 101,415.84, 151,907.04 and 82,354.56

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Solution

The fourth proportional to 101,415.84, 151,907.04 and 82,354.56 is: 123,355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,415.84 : 151,907.04 = 82,354.56 : x
  2. Step 2: Convert to fraction form
    101,415.84/151,907.04 = 82,354.56/x
  3. Step 3: Cross multiply
    101,415.84x = 151,907.04 × 82,354.56
  4. Step 4: Simplify right side
    101,415.84x = 12,510,237,440.10
  5. Step 5: Solve for x
    x = 12,510,237,440.10/101,415.84
  6. Step 6: Final answer
    x = 123,355.85

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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.