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Finding the Fourth Proportional to 190,642.43, 285,694.85 and 105,291.77

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Solution

The fourth proportional to 190,642.43, 285,694.85 and 105,291.77 is: 157,789.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,642.43 : 285,694.85 = 105,291.77 : x
  2. Step 2: Convert to fraction form
    190,642.43/285,694.85 = 105,291.77/x
  3. Step 3: Cross multiply
    190,642.43x = 285,694.85 × 105,291.77
  4. Step 4: Simplify right side
    190,642.43x = 30,081,316,285.91
  5. Step 5: Solve for x
    x = 30,081,316,285.91/190,642.43
  6. Step 6: Final answer
    x = 157,789.20

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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.