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Finding the Fourth Proportional to 189,614.86, 284,464.71 and 71,287.22

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Solution

The fourth proportional to 189,614.86, 284,464.71 and 71,287.22 is: 106,946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,614.86 : 284,464.71 = 71,287.22 : x
  2. Step 2: Convert to fraction form
    189,614.86/284,464.71 = 71,287.22/x
  3. Step 3: Cross multiply
    189,614.86x = 284,464.71 × 71,287.22
  4. Step 4: Simplify right side
    189,614.86x = 20,278,699,075.17
  5. Step 5: Solve for x
    x = 20,278,699,075.17/189,614.86
  6. Step 6: Final answer
    x = 106,946.78

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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.