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Finding the Fourth Proportional to 217,457.70, 326,108.40 and 75,264.42

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Solution

The fourth proportional to 217,457.70, 326,108.40 and 75,264.42 is: 112,869.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,457.70 : 326,108.40 = 75,264.42 : x
  2. Step 2: Convert to fraction form
    217,457.70/326,108.40 = 75,264.42/x
  3. Step 3: Cross multiply
    217,457.70x = 326,108.40 × 75,264.42
  4. Step 4: Simplify right side
    217,457.70x = 24,544,360,523.79
  5. Step 5: Solve for x
    x = 24,544,360,523.79/217,457.70
  6. Step 6: Final answer
    x = 112,869.59

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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.