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Finding the Fourth Proportional to 189,678.38, 284,533.97 and 49,437

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Solution

The fourth proportional to 189,678.38, 284,533.97 and 49,437 is: 74,159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,678.38 : 284,533.97 = 49,437 : x
  2. Step 2: Convert to fraction form
    189,678.38/284,533.97 = 49,437/x
  3. Step 3: Cross multiply
    189,678.38x = 284,533.97 × 49,437
  4. Step 4: Simplify right side
    189,678.38x = 14,066,505,627.71
  5. Step 5: Solve for x
    x = 14,066,505,627.71/189,678.38
  6. Step 6: Final answer
    x = 74,159.78

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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.