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Finding the Fourth Proportional to 109,525.80, 164,313.12 and 39,405

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Solution

The fourth proportional to 109,525.80, 164,313.12 and 39,405 is: 59,116.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,525.80 : 164,313.12 = 39,405 : x
  2. Step 2: Convert to fraction form
    109,525.80/164,313.12 = 39,405/x
  3. Step 3: Cross multiply
    109,525.80x = 164,313.12 × 39,405
  4. Step 4: Simplify right side
    109,525.80x = 6,474,758,493.60
  5. Step 5: Solve for x
    x = 6,474,758,493.60/109,525.80
  6. Step 6: Final answer
    x = 59,116.29

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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.