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Finding the Fourth Proportional to 109,765.40, 164,599.50 and 39,645.32

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Solution

The fourth proportional to 109,765.40, 164,599.50 and 39,645.32 is: 59,450.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,765.40 : 164,599.50 = 39,645.32 : x
  2. Step 2: Convert to fraction form
    109,765.40/164,599.50 = 39,645.32/x
  3. Step 3: Cross multiply
    109,765.40x = 164,599.50 × 39,645.32
  4. Step 4: Simplify right side
    109,765.40x = 6,525,599,849.34
  5. Step 5: Solve for x
    x = 6,525,599,849.34/109,765.40
  6. Step 6: Final answer
    x = 59,450.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.