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Finding the Fourth Proportional to 218,167.40, 327,207.90 and 105,847.40

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Solution

The fourth proportional to 218,167.40, 327,207.90 and 105,847.40 is: 158,750.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,167.40 : 327,207.90 = 105,847.40 : x
  2. Step 2: Convert to fraction form
    218,167.40/327,207.90 = 105,847.40/x
  3. Step 3: Cross multiply
    218,167.40x = 327,207.90 × 105,847.40
  4. Step 4: Simplify right side
    218,167.40x = 34,634,105,474.46
  5. Step 5: Solve for x
    x = 34,634,105,474.46/218,167.40
  6. Step 6: Final answer
    x = 158,750.14

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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.