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Finding the Fourth Proportional to 190,047.87, 285,137.01 and 71,753.04

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Solution

The fourth proportional to 190,047.87, 285,137.01 and 71,753.04 is: 107,654.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,047.87 : 285,137.01 = 71,753.04 : x
  2. Step 2: Convert to fraction form
    190,047.87/285,137.01 = 71,753.04/x
  3. Step 3: Cross multiply
    190,047.87x = 285,137.01 × 71,753.04
  4. Step 4: Simplify right side
    190,047.87x = 20,459,447,284.01
  5. Step 5: Solve for x
    x = 20,459,447,284.01/190,047.87
  6. Step 6: Final answer
    x = 107,654.18

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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.