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Finding the Fourth Proportional to 30,105.15, 45,158.18 and 11,394

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Solution

The fourth proportional to 30,105.15, 45,158.18 and 11,394 is: 17,091.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,105.15 : 45,158.18 = 11,394 : x
  2. Step 2: Convert to fraction form
    30,105.15/45,158.18 = 11,394/x
  3. Step 3: Cross multiply
    30,105.15x = 45,158.18 × 11,394
  4. Step 4: Simplify right side
    30,105.15x = 514,532,302.92
  5. Step 5: Solve for x
    x = 514,532,302.92/30,105.15
  6. Step 6: Final answer
    x = 17,091.17

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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.