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Finding the Fourth Proportional to 217,847.40, 326,727.90 and 105,527.40

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Solution

The fourth proportional to 217,847.40, 326,727.90 and 105,527.40 is: 158,270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,847.40 : 326,727.90 = 105,527.40 : x
  2. Step 2: Convert to fraction form
    217,847.40/326,727.90 = 105,527.40/x
  3. Step 3: Cross multiply
    217,847.40x = 326,727.90 × 105,527.40
  4. Step 4: Simplify right side
    217,847.40x = 34,478,745,794.46
  5. Step 5: Solve for x
    x = 34,478,745,794.46/217,847.40
  6. Step 6: Final answer
    x = 158,270.17

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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.