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Finding the Fourth Proportional to 189,473.80, 284,340.30 and 105,233.80

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Solution

The fourth proportional to 189,473.80, 284,340.30 and 105,233.80 is: 157,922.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,473.80 : 284,340.30 = 105,233.80 : x
  2. Step 2: Convert to fraction form
    189,473.80/284,340.30 = 105,233.80/x
  3. Step 3: Cross multiply
    189,473.80x = 284,340.30 × 105,233.80
  4. Step 4: Simplify right side
    189,473.80x = 29,922,210,262.14
  5. Step 5: Solve for x
    x = 29,922,210,262.14/189,473.80
  6. Step 6: Final answer
    x = 157,922.68

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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.