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Finding the Fourth Proportional to 109,817.40, 164,734.20 and 39,687.60

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Solution

The fourth proportional to 109,817.40, 164,734.20 and 39,687.60 is: 59,534.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,817.40 : 164,734.20 = 39,687.60 : x
  2. Step 2: Convert to fraction form
    109,817.40/164,734.20 = 39,687.60/x
  3. Step 3: Cross multiply
    109,817.40x = 164,734.20 × 39,687.60
  4. Step 4: Simplify right side
    109,817.40x = 6,537,905,035.92
  5. Step 5: Solve for x
    x = 6,537,905,035.92/109,817.40
  6. Step 6: Final answer
    x = 59,534.33

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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.