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Finding the Fourth Proportional to 354,442.72, 531,692.88 and 105,124

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Solution

The fourth proportional to 354,442.72, 531,692.88 and 105,124 is: 157,694.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,442.72 : 531,692.88 = 105,124 : x
  2. Step 2: Convert to fraction form
    354,442.72/531,692.88 = 105,124/x
  3. Step 3: Cross multiply
    354,442.72x = 531,692.88 × 105,124
  4. Step 4: Simplify right side
    354,442.72x = 55,893,682,317.12
  5. Step 5: Solve for x
    x = 55,893,682,317.12/354,442.72
  6. Step 6: Final answer
    x = 157,694.54

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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.