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Finding the Fourth Proportional to 30,104.15, 45,156.68 and 11,393

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Solution

The fourth proportional to 30,104.15, 45,156.68 and 11,393 is: 17,089.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,104.15 : 45,156.68 = 11,393 : x
  2. Step 2: Convert to fraction form
    30,104.15/45,156.68 = 11,393/x
  3. Step 3: Cross multiply
    30,104.15x = 45,156.68 × 11,393
  4. Step 4: Simplify right side
    30,104.15x = 514,470,055.24
  5. Step 5: Solve for x
    x = 514,470,055.24/30,104.15
  6. Step 6: Final answer
    x = 17,089.67

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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.