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Finding the Fourth Proportional to 189,810.72, 284,716.12 and 49,568.12

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Solution

The fourth proportional to 189,810.72, 284,716.12 and 49,568.12 is: 74,352.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,810.72 : 284,716.12 = 49,568.12 : x
  2. Step 2: Convert to fraction form
    189,810.72/284,716.12 = 49,568.12/x
  3. Step 3: Cross multiply
    189,810.72x = 284,716.12 × 49,568.12
  4. Step 4: Simplify right side
    189,810.72x = 14,112,842,802.09
  5. Step 5: Solve for x
    x = 14,112,842,802.09/189,810.72
  6. Step 6: Final answer
    x = 74,352.19

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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.