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Finding the Fourth Proportional to 215,428.81, 323,290.82 and 75,187.43

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Solution

The fourth proportional to 215,428.81, 323,290.82 and 75,187.43 is: 112,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,428.81 : 323,290.82 = 75,187.43 : x
  2. Step 2: Convert to fraction form
    215,428.81/323,290.82 = 75,187.43/x
  3. Step 3: Cross multiply
    215,428.81x = 323,290.82 × 75,187.43
  4. Step 4: Simplify right side
    215,428.81x = 24,307,405,522.46
  5. Step 5: Solve for x
    x = 24,307,405,522.46/215,428.81
  6. Step 6: Final answer
    x = 112,832.66

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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.