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Finding the Fourth Proportional to 189,664.38, 284,496.84 and 77,405.67

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Solution

The fourth proportional to 189,664.38, 284,496.84 and 77,405.67 is: 116,108.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,664.38 : 284,496.84 = 77,405.67 : x
  2. Step 2: Convert to fraction form
    189,664.38/284,496.84 = 77,405.67/x
  3. Step 3: Cross multiply
    189,664.38x = 284,496.84 × 77,405.67
  4. Step 4: Simplify right side
    189,664.38x = 22,021,668,513.08
  5. Step 5: Solve for x
    x = 22,021,668,513.08/189,664.38
  6. Step 6: Final answer
    x = 116,108.62

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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.