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Finding the Fourth Proportional to 194,315.52, 268,156.20 and 109,434

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Solution

The fourth proportional to 194,315.52, 268,156.20 and 109,434 is: 151,019.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,315.52 : 268,156.20 = 109,434 : x
  2. Step 2: Convert to fraction form
    194,315.52/268,156.20 = 109,434/x
  3. Step 3: Cross multiply
    194,315.52x = 268,156.20 × 109,434
  4. Step 4: Simplify right side
    194,315.52x = 29,345,405,590.80
  5. Step 5: Solve for x
    x = 29,345,405,590.80/194,315.52
  6. Step 6: Final answer
    x = 151,019.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.