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Finding the Fourth Proportional to 189,784.71, 284,677.11 and 49,542.12

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Solution

The fourth proportional to 189,784.71, 284,677.11 and 49,542.12 is: 74,313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,784.71 : 284,677.11 = 49,542.12 : x
  2. Step 2: Convert to fraction form
    189,784.71/284,677.11 = 49,542.12/x
  3. Step 3: Cross multiply
    189,784.71x = 284,677.11 × 49,542.12
  4. Step 4: Simplify right side
    189,784.71x = 14,103,507,544.87
  5. Step 5: Solve for x
    x = 14,103,507,544.87/189,784.71
  6. Step 6: Final answer
    x = 74,313.19

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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.