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Finding the Fourth Proportional to 381,109.20, 571,690.54 and 114,871.92

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Solution

The fourth proportional to 381,109.20, 571,690.54 and 114,871.92 is: 172,315.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,109.20 : 571,690.54 = 114,871.92 : x
  2. Step 2: Convert to fraction form
    381,109.20/571,690.54 = 114,871.92/x
  3. Step 3: Cross multiply
    381,109.20x = 571,690.54 × 114,871.92
  4. Step 4: Simplify right side
    381,109.20x = 65,671,189,975.64
  5. Step 5: Solve for x
    x = 65,671,189,975.64/381,109.20
  6. Step 6: Final answer
    x = 172,315.94

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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.