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Finding the Fourth Proportional to 189,716.22, 284,721.21 and 71,495.10

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Solution

The fourth proportional to 189,716.22, 284,721.21 and 71,495.10 is: 107,298.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,716.22 : 284,721.21 = 71,495.10 : x
  2. Step 2: Convert to fraction form
    189,716.22/284,721.21 = 71,495.10/x
  3. Step 3: Cross multiply
    189,716.22x = 284,721.21 × 71,495.10
  4. Step 4: Simplify right side
    189,716.22x = 20,356,171,381.07
  5. Step 5: Solve for x
    x = 20,356,171,381.07/189,716.22
  6. Step 6: Final answer
    x = 107,298.00

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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.