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Finding the Fourth Proportional to 189,989.45, 284,983.94 and 90,095.14

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Solution

The fourth proportional to 189,989.45, 284,983.94 and 90,095.14 is: 135,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,989.45 : 284,983.94 = 90,095.14 : x
  2. Step 2: Convert to fraction form
    189,989.45/284,983.94 = 90,095.14/x
  3. Step 3: Cross multiply
    189,989.45x = 284,983.94 × 90,095.14
  4. Step 4: Simplify right side
    189,989.45x = 25,675,668,553.52
  5. Step 5: Solve for x
    x = 25,675,668,553.52/189,989.45
  6. Step 6: Final answer
    x = 135,142.60

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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.