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Finding the Fourth Proportional to 194,545, 268,472.10 and 105,121

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Solution

The fourth proportional to 194,545, 268,472.10 and 105,121 is: 145,066.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,545 : 268,472.10 = 105,121 : x
  2. Step 2: Convert to fraction form
    194,545/268,472.10 = 105,121/x
  3. Step 3: Cross multiply
    194,545x = 268,472.10 × 105,121
  4. Step 4: Simplify right side
    194,545x = 28,222,055,624.10
  5. Step 5: Solve for x
    x = 28,222,055,624.10/194,545
  6. Step 6: Final answer
    x = 145,066.98

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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.