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Finding the Fourth Proportional to 194,655.40, 268,624.34 and 105,231.40

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Solution

The fourth proportional to 194,655.40, 268,624.34 and 105,231.40 is: 145,219.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,655.40 : 268,624.34 = 105,231.40 : x
  2. Step 2: Convert to fraction form
    194,655.40/268,624.34 = 105,231.40/x
  3. Step 3: Cross multiply
    194,655.40x = 268,624.34 × 105,231.40
  4. Step 4: Simplify right side
    194,655.40x = 28,267,715,372.28
  5. Step 5: Solve for x
    x = 28,267,715,372.28/194,655.40
  6. Step 6: Final answer
    x = 145,219.27

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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.